Matches in SemOpenAlex for { <https://semopenalex.org/work/W1969669546> ?p ?o ?g. }
Showing items 1 to 86 of
86
with 100 items per page.
- W1969669546 endingPage "634" @default.
- W1969669546 startingPage "625" @default.
- W1969669546 abstract "We introduce a new cardinal invariant, core of a space, defined for any locally compact Hausdorff space X and denoted by cor(X). Locally compact spaces of countable core generalize locally compact σ-compact spaces in a way that is slightly exotic, but still quite natural. We show in Section 1 that under a broad range of conditions locally compact spaces of countable core must be σ-compact. In particular, normal locally compact spaces of countable core and realcompact locally compact spaces of countable core are σ-compact. Perfect mappings preserve the class of spaces of countable core in both directions (Section 2). The Alexandroff compactification aX is weakly first countable at the Alexandroff point a if and only if cor(X)=ω (Section 3). Two examples of non-σ-compact locally compact spaces of countable core are discussed in Section 3. We also extend the well-known theorem of Alexandroff and Urysohn on the cardinality of perfectly normal compacta to compacta satisfying a weak version of perfect normality. Several open problems are formulated." @default.
- W1969669546 created "2016-06-24" @default.
- W1969669546 creator A5052874772 @default.
- W1969669546 date "2007-02-01" @default.
- W1969669546 modified "2023-10-18" @default.
- W1969669546 title "Locally compact spaces of countable core and Alexandroff compactification" @default.
- W1969669546 cites W1561805144 @default.
- W1969669546 cites W1924520797 @default.
- W1969669546 cites W1968716310 @default.
- W1969669546 cites W1978989660 @default.
- W1969669546 cites W1987337323 @default.
- W1969669546 cites W2014492383 @default.
- W1969669546 cites W2042309652 @default.
- W1969669546 cites W2071963135 @default.
- W1969669546 cites W2224970919 @default.
- W1969669546 cites W2325136877 @default.
- W1969669546 cites W438358357 @default.
- W1969669546 cites W588060734 @default.
- W1969669546 cites W3085544478 @default.
- W1969669546 doi "https://doi.org/10.1016/j.topol.2005.05.011" @default.
- W1969669546 hasPublicationYear "2007" @default.
- W1969669546 type Work @default.
- W1969669546 sameAs 1969669546 @default.
- W1969669546 citedByCount "4" @default.
- W1969669546 countsByYear W19696695462013 @default.
- W1969669546 crossrefType "journal-article" @default.
- W1969669546 hasAuthorship W1969669546A5052874772 @default.
- W1969669546 hasConcept C104317684 @default.
- W1969669546 hasConcept C110729354 @default.
- W1969669546 hasConcept C118615104 @default.
- W1969669546 hasConcept C162362422 @default.
- W1969669546 hasConcept C178099376 @default.
- W1969669546 hasConcept C185592680 @default.
- W1969669546 hasConcept C18648836 @default.
- W1969669546 hasConcept C191399826 @default.
- W1969669546 hasConcept C20221139 @default.
- W1969669546 hasConcept C202444582 @default.
- W1969669546 hasConcept C21688789 @default.
- W1969669546 hasConcept C2779165322 @default.
- W1969669546 hasConcept C31498916 @default.
- W1969669546 hasConcept C33231828 @default.
- W1969669546 hasConcept C33923547 @default.
- W1969669546 hasConcept C55112680 @default.
- W1969669546 hasConcept C55493867 @default.
- W1969669546 hasConcept C58450382 @default.
- W1969669546 hasConcept C6419321 @default.
- W1969669546 hasConceptScore W1969669546C104317684 @default.
- W1969669546 hasConceptScore W1969669546C110729354 @default.
- W1969669546 hasConceptScore W1969669546C118615104 @default.
- W1969669546 hasConceptScore W1969669546C162362422 @default.
- W1969669546 hasConceptScore W1969669546C178099376 @default.
- W1969669546 hasConceptScore W1969669546C185592680 @default.
- W1969669546 hasConceptScore W1969669546C18648836 @default.
- W1969669546 hasConceptScore W1969669546C191399826 @default.
- W1969669546 hasConceptScore W1969669546C20221139 @default.
- W1969669546 hasConceptScore W1969669546C202444582 @default.
- W1969669546 hasConceptScore W1969669546C21688789 @default.
- W1969669546 hasConceptScore W1969669546C2779165322 @default.
- W1969669546 hasConceptScore W1969669546C31498916 @default.
- W1969669546 hasConceptScore W1969669546C33231828 @default.
- W1969669546 hasConceptScore W1969669546C33923547 @default.
- W1969669546 hasConceptScore W1969669546C55112680 @default.
- W1969669546 hasConceptScore W1969669546C55493867 @default.
- W1969669546 hasConceptScore W1969669546C58450382 @default.
- W1969669546 hasConceptScore W1969669546C6419321 @default.
- W1969669546 hasIssue "3" @default.
- W1969669546 hasLocation W19696695461 @default.
- W1969669546 hasOpenAccess W1969669546 @default.
- W1969669546 hasPrimaryLocation W19696695461 @default.
- W1969669546 hasRelatedWork W1969669546 @default.
- W1969669546 hasRelatedWork W1973954226 @default.
- W1969669546 hasRelatedWork W2048749149 @default.
- W1969669546 hasRelatedWork W2084803020 @default.
- W1969669546 hasRelatedWork W2085399765 @default.
- W1969669546 hasRelatedWork W2107529887 @default.
- W1969669546 hasRelatedWork W2116799451 @default.
- W1969669546 hasRelatedWork W2293913165 @default.
- W1969669546 hasRelatedWork W2963275073 @default.
- W1969669546 hasRelatedWork W4304194595 @default.
- W1969669546 hasVolume "154" @default.
- W1969669546 isParatext "false" @default.
- W1969669546 isRetracted "false" @default.
- W1969669546 magId "1969669546" @default.
- W1969669546 workType "article" @default.