A new ordered compactification

A new Wallman-type ordered compactification γ∘X is constructed using maximal CZ-filters (which have filter bases obtained from increasing and decreasing zero sets) as the underlying set. A necessary and sufficient condition is given for γ∘X to coincide with the Nachbin compactification β∘X; in parti...
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	D. C. Kent [verfasserIn] T. A. Richmond [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	1993

Schlagwörter:	CZ-set maximal CZ-filter T1-ordered space T2-ordered space Nachbin compactification Wallman ordered compactification.

Übergeordnetes Werk:	In: International Journal of Mathematics and Mathematical Sciences - Hindawi Limited, 2008, 16(1993), 1, Seite 117-124
Übergeordnetes Werk:	volume:16 ; year:1993 ; number:1 ; pages:117-124

Links:	Link aufrufen Link aufrufen Link aufrufen Journal toc Journal toc

DOI / URN:	10.1155/S0161171293000146

Katalog-ID:	DOAJ014695960

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245	1	2	\|a A new ordered compactification
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520			\|a A new Wallman-type ordered compactification γ∘X is constructed using maximal CZ-filters (which have filter bases obtained from increasing and decreasing zero sets) as the underlying set. A necessary and sufficient condition is given for γ∘X to coincide with the Nachbin compactification β∘X; in particular γ∘X=β∘X whenever X has the discrete order. The Wallman ordered compactification ω∘X equals γ∘X whenever X is a subspace of Rn. It is shown that γ∘X is always T1, but can fail to be T1-ordered or T2.
650		4	\|a CZ-set
650		4	\|a maximal CZ-filter
650		4	\|a T1-ordered space
650		4	\|a T2-ordered space
650		4	\|a Nachbin compactification
650		4	\|a Wallman ordered compactification.
653		0	\|a Mathematics
700	0		\|a T. A. Richmond \|e verfasserin \|4 aut
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912			\|a GBV_ILN_62
912			\|a GBV_ILN_63
912			\|a GBV_ILN_65
912			\|a GBV_ILN_69
912			\|a GBV_ILN_70
912			\|a GBV_ILN_73
912			\|a GBV_ILN_95
912			\|a GBV_ILN_105
912			\|a GBV_ILN_110
912			\|a GBV_ILN_151
912			\|a GBV_ILN_161
912			\|a GBV_ILN_170
912			\|a GBV_ILN_171
912			\|a GBV_ILN_213
912			\|a GBV_ILN_224
912			\|a GBV_ILN_230
912			\|a GBV_ILN_285
912			\|a GBV_ILN_293
912			\|a GBV_ILN_370
912			\|a GBV_ILN_602
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912			\|a GBV_ILN_2004
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912			\|a GBV_ILN_2014
912			\|a GBV_ILN_2026
912			\|a GBV_ILN_2034
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912			\|a GBV_ILN_2050
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912			\|a GBV_ILN_2111
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912			\|a GBV_ILN_4037
912			\|a GBV_ILN_4046
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912			\|a GBV_ILN_4125
912			\|a GBV_ILN_4126
912			\|a GBV_ILN_4242
912			\|a GBV_ILN_4249
912			\|a GBV_ILN_4251
912			\|a GBV_ILN_4305
912			\|a GBV_ILN_4306
912			\|a GBV_ILN_4307
912			\|a GBV_ILN_4313
912			\|a GBV_ILN_4322
912			\|a GBV_ILN_4323
912			\|a GBV_ILN_4324
912			\|a GBV_ILN_4325
912			\|a GBV_ILN_4326
912			\|a GBV_ILN_4333
912			\|a GBV_ILN_4334
912			\|a GBV_ILN_4335
912			\|a GBV_ILN_4336
912			\|a GBV_ILN_4338
912			\|a GBV_ILN_4367
912			\|a GBV_ILN_4700
951			\|a AR
952			\|d 16 \|j 1993 \|e 1 \|h 117-124

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matchkey_str	article:16870425:1993----::nwreecmat
hierarchy_sort_str	1993
callnumber-subject-code	QA
publishDate	1993
allfields	10.1155/S0161171293000146 doi (DE-627)DOAJ014695960 (DE-599)DOAJ549b26495d914f3d898cd2928a86d282 DE-627 ger DE-627 rakwb eng QA1-939 D. C. Kent verfasserin aut A new ordered compactification 1993 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier A new Wallman-type ordered compactification γ∘X is constructed using maximal CZ-filters (which have filter bases obtained from increasing and decreasing zero sets) as the underlying set. A necessary and sufficient condition is given for γ∘X to coincide with the Nachbin compactification β∘X; in particular γ∘X=β∘X whenever X has the discrete order. The Wallman ordered compactification ω∘X equals γ∘X whenever X is a subspace of Rn. It is shown that γ∘X is always T1, but can fail to be T1-ordered or T2. CZ-set maximal CZ-filter T1-ordered space T2-ordered space Nachbin compactification Wallman ordered compactification. Mathematics T. A. Richmond verfasserin aut In International Journal of Mathematics and Mathematical Sciences Hindawi Limited, 2008 16(1993), 1, Seite 117-124 (DE-627)302721657 (DE-600)1492203-4 16870425 nnns volume:16 year:1993 number:1 pages:117-124 https://doi.org/10.1155/S0161171293000146 kostenfrei https://doaj.org/article/549b26495d914f3d898cd2928a86d282 kostenfrei http://dx.doi.org/10.1155/S0161171293000146 kostenfrei https://doaj.org/toc/0161-1712 Journal toc kostenfrei https://doaj.org/toc/1687-0425 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2010 GBV_ILN_2014 GBV_ILN_2026 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2106 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 16 1993 1 117-124
spelling	10.1155/S0161171293000146 doi (DE-627)DOAJ014695960 (DE-599)DOAJ549b26495d914f3d898cd2928a86d282 DE-627 ger DE-627 rakwb eng QA1-939 D. C. Kent verfasserin aut A new ordered compactification 1993 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier A new Wallman-type ordered compactification γ∘X is constructed using maximal CZ-filters (which have filter bases obtained from increasing and decreasing zero sets) as the underlying set. A necessary and sufficient condition is given for γ∘X to coincide with the Nachbin compactification β∘X; in particular γ∘X=β∘X whenever X has the discrete order. The Wallman ordered compactification ω∘X equals γ∘X whenever X is a subspace of Rn. It is shown that γ∘X is always T1, but can fail to be T1-ordered or T2. CZ-set maximal CZ-filter T1-ordered space T2-ordered space Nachbin compactification Wallman ordered compactification. Mathematics T. A. Richmond verfasserin aut In International Journal of Mathematics and Mathematical Sciences Hindawi Limited, 2008 16(1993), 1, Seite 117-124 (DE-627)302721657 (DE-600)1492203-4 16870425 nnns volume:16 year:1993 number:1 pages:117-124 https://doi.org/10.1155/S0161171293000146 kostenfrei https://doaj.org/article/549b26495d914f3d898cd2928a86d282 kostenfrei http://dx.doi.org/10.1155/S0161171293000146 kostenfrei https://doaj.org/toc/0161-1712 Journal toc kostenfrei https://doaj.org/toc/1687-0425 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2010 GBV_ILN_2014 GBV_ILN_2026 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2106 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 16 1993 1 117-124
allfields_unstemmed	10.1155/S0161171293000146 doi (DE-627)DOAJ014695960 (DE-599)DOAJ549b26495d914f3d898cd2928a86d282 DE-627 ger DE-627 rakwb eng QA1-939 D. C. Kent verfasserin aut A new ordered compactification 1993 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier A new Wallman-type ordered compactification γ∘X is constructed using maximal CZ-filters (which have filter bases obtained from increasing and decreasing zero sets) as the underlying set. A necessary and sufficient condition is given for γ∘X to coincide with the Nachbin compactification β∘X; in particular γ∘X=β∘X whenever X has the discrete order. The Wallman ordered compactification ω∘X equals γ∘X whenever X is a subspace of Rn. It is shown that γ∘X is always T1, but can fail to be T1-ordered or T2. CZ-set maximal CZ-filter T1-ordered space T2-ordered space Nachbin compactification Wallman ordered compactification. Mathematics T. A. Richmond verfasserin aut In International Journal of Mathematics and Mathematical Sciences Hindawi Limited, 2008 16(1993), 1, Seite 117-124 (DE-627)302721657 (DE-600)1492203-4 16870425 nnns volume:16 year:1993 number:1 pages:117-124 https://doi.org/10.1155/S0161171293000146 kostenfrei https://doaj.org/article/549b26495d914f3d898cd2928a86d282 kostenfrei http://dx.doi.org/10.1155/S0161171293000146 kostenfrei https://doaj.org/toc/0161-1712 Journal toc kostenfrei https://doaj.org/toc/1687-0425 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2010 GBV_ILN_2014 GBV_ILN_2026 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2106 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 16 1993 1 117-124
allfieldsGer	10.1155/S0161171293000146 doi (DE-627)DOAJ014695960 (DE-599)DOAJ549b26495d914f3d898cd2928a86d282 DE-627 ger DE-627 rakwb eng QA1-939 D. C. Kent verfasserin aut A new ordered compactification 1993 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier A new Wallman-type ordered compactification γ∘X is constructed using maximal CZ-filters (which have filter bases obtained from increasing and decreasing zero sets) as the underlying set. A necessary and sufficient condition is given for γ∘X to coincide with the Nachbin compactification β∘X; in particular γ∘X=β∘X whenever X has the discrete order. The Wallman ordered compactification ω∘X equals γ∘X whenever X is a subspace of Rn. It is shown that γ∘X is always T1, but can fail to be T1-ordered or T2. CZ-set maximal CZ-filter T1-ordered space T2-ordered space Nachbin compactification Wallman ordered compactification. Mathematics T. A. Richmond verfasserin aut In International Journal of Mathematics and Mathematical Sciences Hindawi Limited, 2008 16(1993), 1, Seite 117-124 (DE-627)302721657 (DE-600)1492203-4 16870425 nnns volume:16 year:1993 number:1 pages:117-124 https://doi.org/10.1155/S0161171293000146 kostenfrei https://doaj.org/article/549b26495d914f3d898cd2928a86d282 kostenfrei http://dx.doi.org/10.1155/S0161171293000146 kostenfrei https://doaj.org/toc/0161-1712 Journal toc kostenfrei https://doaj.org/toc/1687-0425 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2010 GBV_ILN_2014 GBV_ILN_2026 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2106 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 16 1993 1 117-124
allfieldsSound	10.1155/S0161171293000146 doi (DE-627)DOAJ014695960 (DE-599)DOAJ549b26495d914f3d898cd2928a86d282 DE-627 ger DE-627 rakwb eng QA1-939 D. C. Kent verfasserin aut A new ordered compactification 1993 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier A new Wallman-type ordered compactification γ∘X is constructed using maximal CZ-filters (which have filter bases obtained from increasing and decreasing zero sets) as the underlying set. A necessary and sufficient condition is given for γ∘X to coincide with the Nachbin compactification β∘X; in particular γ∘X=β∘X whenever X has the discrete order. The Wallman ordered compactification ω∘X equals γ∘X whenever X is a subspace of Rn. It is shown that γ∘X is always T1, but can fail to be T1-ordered or T2. CZ-set maximal CZ-filter T1-ordered space T2-ordered space Nachbin compactification Wallman ordered compactification. Mathematics T. A. Richmond verfasserin aut In International Journal of Mathematics and Mathematical Sciences Hindawi Limited, 2008 16(1993), 1, Seite 117-124 (DE-627)302721657 (DE-600)1492203-4 16870425 nnns volume:16 year:1993 number:1 pages:117-124 https://doi.org/10.1155/S0161171293000146 kostenfrei https://doaj.org/article/549b26495d914f3d898cd2928a86d282 kostenfrei http://dx.doi.org/10.1155/S0161171293000146 kostenfrei https://doaj.org/toc/0161-1712 Journal toc kostenfrei https://doaj.org/toc/1687-0425 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2010 GBV_ILN_2014 GBV_ILN_2026 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2106 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 16 1993 1 117-124
language	English
source	In International Journal of Mathematics and Mathematical Sciences 16(1993), 1, Seite 117-124 volume:16 year:1993 number:1 pages:117-124
sourceStr	In International Journal of Mathematics and Mathematical Sciences 16(1993), 1, Seite 117-124 volume:16 year:1993 number:1 pages:117-124
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	CZ-set maximal CZ-filter T1-ordered space T2-ordered space Nachbin compactification Wallman ordered compactification. Mathematics
isfreeaccess_bool	true
container_title	International Journal of Mathematics and Mathematical Sciences
authorswithroles_txt_mv	D. C. Kent @@aut@@ T. A. Richmond @@aut@@
publishDateDaySort_date	1993-01-01T00:00:00Z
hierarchy_top_id	302721657
id	DOAJ014695960
language_de	englisch
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callnumber-first	Q - Science
author	D. C. Kent
spellingShingle	D. C. Kent misc QA1-939 misc CZ-set misc maximal CZ-filter misc T1-ordered space misc T2-ordered space misc Nachbin compactification misc Wallman ordered compactification. misc Mathematics A new ordered compactification
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topic_title	QA1-939 A new ordered compactification CZ-set maximal CZ-filter T1-ordered space T2-ordered space Nachbin compactification Wallman ordered compactification
topic	misc QA1-939 misc CZ-set misc maximal CZ-filter misc T1-ordered space misc T2-ordered space misc Nachbin compactification misc Wallman ordered compactification. misc Mathematics
topic_unstemmed	misc QA1-939 misc CZ-set misc maximal CZ-filter misc T1-ordered space misc T2-ordered space misc Nachbin compactification misc Wallman ordered compactification. misc Mathematics
topic_browse	misc QA1-939 misc CZ-set misc maximal CZ-filter misc T1-ordered space misc T2-ordered space misc Nachbin compactification misc Wallman ordered compactification. misc Mathematics
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title	A new ordered compactification
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title_full	A new ordered compactification
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title_sort	new ordered compactification
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title_auth	A new ordered compactification
abstract	A new Wallman-type ordered compactification γ∘X is constructed using maximal CZ-filters (which have filter bases obtained from increasing and decreasing zero sets) as the underlying set. A necessary and sufficient condition is given for γ∘X to coincide with the Nachbin compactification β∘X; in particular γ∘X=β∘X whenever X has the discrete order. The Wallman ordered compactification ω∘X equals γ∘X whenever X is a subspace of Rn. It is shown that γ∘X is always T1, but can fail to be T1-ordered or T2.
abstractGer	A new Wallman-type ordered compactification γ∘X is constructed using maximal CZ-filters (which have filter bases obtained from increasing and decreasing zero sets) as the underlying set. A necessary and sufficient condition is given for γ∘X to coincide with the Nachbin compactification β∘X; in particular γ∘X=β∘X whenever X has the discrete order. The Wallman ordered compactification ω∘X equals γ∘X whenever X is a subspace of Rn. It is shown that γ∘X is always T1, but can fail to be T1-ordered or T2.
abstract_unstemmed	A new Wallman-type ordered compactification γ∘X is constructed using maximal CZ-filters (which have filter bases obtained from increasing and decreasing zero sets) as the underlying set. A necessary and sufficient condition is given for γ∘X to coincide with the Nachbin compactification β∘X; in particular γ∘X=β∘X whenever X has the discrete order. The Wallman ordered compactification ω∘X equals γ∘X whenever X is a subspace of Rn. It is shown that γ∘X is always T1, but can fail to be T1-ordered or T2.
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title_short	A new ordered compactification
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score	7.397897

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