Matches in SemOpenAlex for { <https://semopenalex.org/work/W757103703> ?p ?o ?g. }
Showing items 1 to 91 of
91
with 100 items per page.
- W757103703 endingPage "507" @default.
- W757103703 startingPage "503" @default.
- W757103703 abstract "Abstract. Let X be a Tychonoff space andP( X ) the set of all the subrings of C ( X ) that contain C ⁄ ( X ). For any A ( X ) inP( X ) suppose A A X is the largest sub-space of flX containing X to which each function in A ( X ) can be extended continu-ously. Let us write A ( X ) » B ( X ) if and only if A A X = A B X , thereby defining anequivalence relation onP( X ). We have shown that an A ( X ) inP( X ) is isomorphicto C ( Y ) for some space Y if and only if A ( X ) is the largest member of its equiv-alence class if and only if there exists a subspace T of flX with the property that A ( X ) = ff 2 C ( X ) : f ⁄ ( p ) is real for each p in Tg , f being the unique continuous exten-sion of f in C ( X ) from flX to R ⁄ , the one point compactification of R. As a consequenceit follows that if X is a realcompact space in which every C ⁄ -embedded subset is closed,then C ( X ) is never isomorphic to any A ( X ) inP( X ) without being equal to it. 1. IntroductionIt is well known in the theory of rings of continuous functions that for a Ty-chonoff space" @default.
- W757103703 created "2016-06-24" @default.
- W757103703 creator A5036938816 @default.
- W757103703 creator A5071887465 @default.
- W757103703 date "2006-01-01" @default.
- W757103703 modified "2023-09-23" @default.
- W757103703 title "Characterization of Function Rings Between C * (X) and C(X)" @default.
- W757103703 cites W1509724491 @default.
- W757103703 cites W1558244506 @default.
- W757103703 cites W1983437996 @default.
- W757103703 cites W2028951352 @default.
- W757103703 cites W2326155258 @default.
- W757103703 cites W753543027 @default.
- W757103703 cites W889869215 @default.
- W757103703 hasPublicationYear "2006" @default.
- W757103703 type Work @default.
- W757103703 sameAs 757103703 @default.
- W757103703 citedByCount "4" @default.
- W757103703 countsByYear W7571037032017 @default.
- W757103703 countsByYear W7571037032018 @default.
- W757103703 countsByYear W7571037032020 @default.
- W757103703 crossrefType "journal-article" @default.
- W757103703 hasAuthorship W757103703A5036938816 @default.
- W757103703 hasAuthorship W757103703A5071887465 @default.
- W757103703 hasConcept C114614502 @default.
- W757103703 hasConcept C118615104 @default.
- W757103703 hasConcept C120665830 @default.
- W757103703 hasConcept C121332964 @default.
- W757103703 hasConcept C134306372 @default.
- W757103703 hasConcept C138885662 @default.
- W757103703 hasConcept C14036430 @default.
- W757103703 hasConcept C142730499 @default.
- W757103703 hasConcept C154945302 @default.
- W757103703 hasConcept C2777212361 @default.
- W757103703 hasConcept C2778572836 @default.
- W757103703 hasConcept C2780841128 @default.
- W757103703 hasConcept C32834561 @default.
- W757103703 hasConcept C33923547 @default.
- W757103703 hasConcept C41008148 @default.
- W757103703 hasConcept C41895202 @default.
- W757103703 hasConcept C78458016 @default.
- W757103703 hasConcept C86803240 @default.
- W757103703 hasConceptScore W757103703C114614502 @default.
- W757103703 hasConceptScore W757103703C118615104 @default.
- W757103703 hasConceptScore W757103703C120665830 @default.
- W757103703 hasConceptScore W757103703C121332964 @default.
- W757103703 hasConceptScore W757103703C134306372 @default.
- W757103703 hasConceptScore W757103703C138885662 @default.
- W757103703 hasConceptScore W757103703C14036430 @default.
- W757103703 hasConceptScore W757103703C142730499 @default.
- W757103703 hasConceptScore W757103703C154945302 @default.
- W757103703 hasConceptScore W757103703C2777212361 @default.
- W757103703 hasConceptScore W757103703C2778572836 @default.
- W757103703 hasConceptScore W757103703C2780841128 @default.
- W757103703 hasConceptScore W757103703C32834561 @default.
- W757103703 hasConceptScore W757103703C33923547 @default.
- W757103703 hasConceptScore W757103703C41008148 @default.
- W757103703 hasConceptScore W757103703C41895202 @default.
- W757103703 hasConceptScore W757103703C78458016 @default.
- W757103703 hasConceptScore W757103703C86803240 @default.
- W757103703 hasIssue "4" @default.
- W757103703 hasLocation W7571037031 @default.
- W757103703 hasOpenAccess W757103703 @default.
- W757103703 hasPrimaryLocation W7571037031 @default.
- W757103703 hasRelatedWork W1196647709 @default.
- W757103703 hasRelatedWork W158878810 @default.
- W757103703 hasRelatedWork W1778300589 @default.
- W757103703 hasRelatedWork W197407034 @default.
- W757103703 hasRelatedWork W1974674560 @default.
- W757103703 hasRelatedWork W1989645996 @default.
- W757103703 hasRelatedWork W1998180629 @default.
- W757103703 hasRelatedWork W2059075466 @default.
- W757103703 hasRelatedWork W2066807103 @default.
- W757103703 hasRelatedWork W2067477065 @default.
- W757103703 hasRelatedWork W2073505626 @default.
- W757103703 hasRelatedWork W2088181977 @default.
- W757103703 hasRelatedWork W2091248096 @default.
- W757103703 hasRelatedWork W2312711620 @default.
- W757103703 hasRelatedWork W2326155258 @default.
- W757103703 hasRelatedWork W2327036032 @default.
- W757103703 hasRelatedWork W2370063307 @default.
- W757103703 hasRelatedWork W753543027 @default.
- W757103703 hasRelatedWork W2477395411 @default.
- W757103703 hasRelatedWork W3086601893 @default.
- W757103703 hasVolume "46" @default.
- W757103703 isParatext "false" @default.
- W757103703 isRetracted "false" @default.
- W757103703 magId "757103703" @default.
- W757103703 workType "article" @default.