A note on locally v-bounded spaces

In this paper, on the family O(Y ) of all open subsets of a space Y (actually on a complete lattice) we define the so called strong v-Scott topology, denoted by τ8v, where v is an infinite cardinal. This topology defines on the set C(Y,Z) of all continuous functions on the space Y to a space Z a to...
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Autor*in:	D.N. Georgiou [verfasserIn] S.D. Iliadis [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2005

Schlagwörter:	Strong Scott topology Strong Isbell topology Function space Admissible topology

Übergeordnetes Werk:	In: Applied General Topology - Universitat Politècnica de València, 2013, 6(2005), 2, Seite 143-148
Übergeordnetes Werk:	volume:6 ; year:2005 ; number:2 ; pages:143-148

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

DOI / URN:	10.4995/agt.2005.1953

Katalog-ID:	DOAJ039826236

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allfieldsSound	10.4995/agt.2005.1953 doi (DE-627)DOAJ039826236 (DE-599)DOAJa846a893efc441c4af038e4c7d1fa52b DE-627 ger DE-627 rakwb eng QA1-939 QA299.6-433 D.N. Georgiou verfasserin aut A note on locally v-bounded spaces 2005 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In this paper, on the family O(Y ) of all open subsets of a space Y (actually on a complete lattice) we define the so called strong v-Scott topology, denoted by τ8v, where v is an infinite cardinal. This topology defines on the set C(Y,Z) of all continuous functions on the space Y to a space Z a topology τ8v. The topology τ8v, is always larger than or equal to the strong Isbell topology. We study the topology τ8v in the case where Y is a locally v-bounded space. Strong Scott topology Strong Isbell topology Function space Admissible topology Mathematics Analysis S.D. Iliadis verfasserin aut In Applied General Topology Universitat Politècnica de València, 2013 6(2005), 2, Seite 143-148 (DE-627)778376729 (DE-600)2756313-3 19894147 nnns volume:6 year:2005 number:2 pages:143-148 https://doi.org/10.4995/agt.2005.1953 kostenfrei https://doaj.org/article/a846a893efc441c4af038e4c7d1fa52b kostenfrei http://polipapers.upv.es/index.php/AGT/article/view/1953 kostenfrei https://doaj.org/toc/1576-9402 Journal toc kostenfrei https://doaj.org/toc/1989-4147 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 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_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2088 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 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_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 6 2005 2 143-148
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author	D.N. Georgiou
spellingShingle	D.N. Georgiou misc QA1-939 misc QA299.6-433 misc Strong Scott topology misc Strong Isbell topology misc Function space misc Admissible topology misc Mathematics misc Analysis A note on locally v-bounded spaces
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title	A note on locally v-bounded spaces
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abstract	In this paper, on the family O(Y ) of all open subsets of a space Y (actually on a complete lattice) we define the so called strong v-Scott topology, denoted by τ8v, where v is an infinite cardinal. This topology defines on the set C(Y,Z) of all continuous functions on the space Y to a space Z a topology τ8v. The topology τ8v, is always larger than or equal to the strong Isbell topology. We study the topology τ8v in the case where Y is a locally v-bounded space.
abstractGer	In this paper, on the family O(Y ) of all open subsets of a space Y (actually on a complete lattice) we define the so called strong v-Scott topology, denoted by τ8v, where v is an infinite cardinal. This topology defines on the set C(Y,Z) of all continuous functions on the space Y to a space Z a topology τ8v. The topology τ8v, is always larger than or equal to the strong Isbell topology. We study the topology τ8v in the case where Y is a locally v-bounded space.
abstract_unstemmed	In this paper, on the family O(Y ) of all open subsets of a space Y (actually on a complete lattice) we define the so called strong v-Scott topology, denoted by τ8v, where v is an infinite cardinal. This topology defines on the set C(Y,Z) of all continuous functions on the space Y to a space Z a topology τ8v. The topology τ8v, is always larger than or equal to the strong Isbell topology. We study the topology τ8v in the case where Y is a locally v-bounded space.
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