A note on discrete C-embedded subspaces
Abstract It is shown that in some non-discrete topological spaces, discrete subspaces with certain cardinality are C-embedded. In particular, this generalizes the well-known fact that every countable subset of P-spaces are C-embedded. In the presence of the measurable cardinals, we observe that if X...
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| Autor*in: |
Namdari, Mehrdad [verfasserIn] |
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| Format: |
Artikel |
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| Erschienen: |
2019 |
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| Anmerkung: |
© 2019 Mathematical Institute Slovak Academy of Sciences |
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| Übergeordnetes Werk: |
Enthalten in: Mathematica Slovaca - De Gruyter, 1976, 69(2019), 2 vom: 19. März, Seite 469-473 |
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| Übergeordnetes Werk: |
volume:69 ; year:2019 ; number:2 ; day:19 ; month:03 ; pages:469-473 |
| Links: |
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| DOI / URN: |
10.1515/ms-2017-0239 |
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OLC2141531136 |
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| 520 | |a Abstract It is shown that in some non-discrete topological spaces, discrete subspaces with certain cardinality are C-embedded. In particular, this generalizes the well-known fact that every countable subset of P-spaces are C-embedded. In the presence of the measurable cardinals, we observe that if X is a discrete space then every subspace of υ X (i.e., the Hewitt realcompactification of X) whose cardinal is nonmeasurable, is a C-embedded, discrete realcompact subspace of υ X. This generalizes the well-known fact that the discrete spaces with nonmeasurable cardinal are realcompact. | ||
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10.1515/ms-2017-0239 doi (DE-627)OLC2141531136 (DE-B1597)ms-2017-0239-p DE-627 ger DE-627 rakwb 510 VZ 510 VZ 17,1 ssgn Namdari, Mehrdad verfasserin aut A note on discrete C-embedded subspaces 2019 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © 2019 Mathematical Institute Slovak Academy of Sciences Abstract It is shown that in some non-discrete topological spaces, discrete subspaces with certain cardinality are C-embedded. In particular, this generalizes the well-known fact that every countable subset of P-spaces are C-embedded. In the presence of the measurable cardinals, we observe that if X is a discrete space then every subspace of υ X (i.e., the Hewitt realcompactification of X) whose cardinal is nonmeasurable, is a C-embedded, discrete realcompact subspace of υ X. This generalizes the well-known fact that the discrete spaces with nonmeasurable cardinal are realcompact. Siavoshi, Mohammad Ali aut Enthalten in Mathematica Slovaca De Gruyter, 1976 69(2019), 2 vom: 19. März, Seite 469-473 (DE-627)129564028 (DE-600)223018-5 (DE-576)015031500 0139-9918 nnns volume:69 year:2019 number:2 day:19 month:03 pages:469-473 https://doi.org/10.1515/ms-2017-0239 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_40 GBV_ILN_70 GBV_ILN_267 GBV_ILN_4277 AR 69 2019 2 19 03 469-473 |
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10.1515/ms-2017-0239 doi (DE-627)OLC2141531136 (DE-B1597)ms-2017-0239-p DE-627 ger DE-627 rakwb 510 VZ 510 VZ 17,1 ssgn Namdari, Mehrdad verfasserin aut A note on discrete C-embedded subspaces 2019 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © 2019 Mathematical Institute Slovak Academy of Sciences Abstract It is shown that in some non-discrete topological spaces, discrete subspaces with certain cardinality are C-embedded. In particular, this generalizes the well-known fact that every countable subset of P-spaces are C-embedded. In the presence of the measurable cardinals, we observe that if X is a discrete space then every subspace of υ X (i.e., the Hewitt realcompactification of X) whose cardinal is nonmeasurable, is a C-embedded, discrete realcompact subspace of υ X. This generalizes the well-known fact that the discrete spaces with nonmeasurable cardinal are realcompact. Siavoshi, Mohammad Ali aut Enthalten in Mathematica Slovaca De Gruyter, 1976 69(2019), 2 vom: 19. März, Seite 469-473 (DE-627)129564028 (DE-600)223018-5 (DE-576)015031500 0139-9918 nnns volume:69 year:2019 number:2 day:19 month:03 pages:469-473 https://doi.org/10.1515/ms-2017-0239 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_40 GBV_ILN_70 GBV_ILN_267 GBV_ILN_4277 AR 69 2019 2 19 03 469-473 |
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Abstract It is shown that in some non-discrete topological spaces, discrete subspaces with certain cardinality are C-embedded. In particular, this generalizes the well-known fact that every countable subset of P-spaces are C-embedded. In the presence of the measurable cardinals, we observe that if X is a discrete space then every subspace of υ X (i.e., the Hewitt realcompactification of X) whose cardinal is nonmeasurable, is a C-embedded, discrete realcompact subspace of υ X. This generalizes the well-known fact that the discrete spaces with nonmeasurable cardinal are realcompact. © 2019 Mathematical Institute Slovak Academy of Sciences |
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Abstract It is shown that in some non-discrete topological spaces, discrete subspaces with certain cardinality are C-embedded. In particular, this generalizes the well-known fact that every countable subset of P-spaces are C-embedded. In the presence of the measurable cardinals, we observe that if X is a discrete space then every subspace of υ X (i.e., the Hewitt realcompactification of X) whose cardinal is nonmeasurable, is a C-embedded, discrete realcompact subspace of υ X. This generalizes the well-known fact that the discrete spaces with nonmeasurable cardinal are realcompact. © 2019 Mathematical Institute Slovak Academy of Sciences |
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Abstract It is shown that in some non-discrete topological spaces, discrete subspaces with certain cardinality are C-embedded. In particular, this generalizes the well-known fact that every countable subset of P-spaces are C-embedded. In the presence of the measurable cardinals, we observe that if X is a discrete space then every subspace of υ X (i.e., the Hewitt realcompactification of X) whose cardinal is nonmeasurable, is a C-embedded, discrete realcompact subspace of υ X. This generalizes the well-known fact that the discrete spaces with nonmeasurable cardinal are realcompact. © 2019 Mathematical Institute Slovak Academy of Sciences |
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In particular, this generalizes the well-known fact that every countable subset of P-spaces are C-embedded. In the presence of the measurable cardinals, we observe that if X is a discrete space then every subspace of υ X (i.e., the Hewitt realcompactification of X) whose cardinal is nonmeasurable, is a C-embedded, discrete realcompact subspace of υ X. This generalizes the well-known fact that the discrete spaces with nonmeasurable cardinal are realcompact.</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Siavoshi, Mohammad Ali</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Mathematica Slovaca</subfield><subfield code="d">De Gruyter, 1976</subfield><subfield code="g">69(2019), 2 vom: 19. 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