Matches in SemOpenAlex for { <https://semopenalex.org/work/W2097659330> ?p ?o ?g. }
Showing items 1 to 87 of
87
with 100 items per page.
- W2097659330 abstract "This paper studies the homomorphism of rings of continuous functions ρ: C(X) → C(Y ), Y a subspace of a Tychonoff space X, induced by restriction. We ask when ρ is an epimorphism in the categorical sense. There are several appropriate categories: we look at CR, all commutative rings, and R/N, all reduced commutative rings. When X is first countable and perfectly normal (e.g., a metric space), ρ is a CR- epimorphism if and only if it is a R/N-epimorphism if and only if Y is locally closed in X. It is also shown that the restriction of ρ to C ∗ (X) → C ∗ (Y ), when X is normal, is a CR-epimorphism if and only if it is a surjection. In general spaces the picture is more complicated, as is shown by various examples. Information about Spec ρ and Spec ρ restricted to the proconstructible set of prime z- ideals is given." @default.
- W2097659330 created "2016-06-24" @default.
- W2097659330 creator A5058033335 @default.
- W2097659330 creator A5064362335 @default.
- W2097659330 creator A5078106020 @default.
- W2097659330 date "2003-01-01" @default.
- W2097659330 modified "2023-09-26" @default.
- W2097659330 title "RING EPIMORPHISMS AND C(X)" @default.
- W2097659330 cites W1605380553 @default.
- W2097659330 cites W1971644890 @default.
- W2097659330 cites W1977522546 @default.
- W2097659330 cites W1983437996 @default.
- W2097659330 cites W1992861135 @default.
- W2097659330 cites W2018154295 @default.
- W2097659330 cites W2041762991 @default.
- W2097659330 cites W2070944369 @default.
- W2097659330 cites W2071476325 @default.
- W2097659330 cites W2074230655 @default.
- W2097659330 cites W2074794455 @default.
- W2097659330 cites W2105066591 @default.
- W2097659330 cites W2120713972 @default.
- W2097659330 cites W2275998874 @default.
- W2097659330 cites W2326155258 @default.
- W2097659330 cites W39535707 @default.
- W2097659330 cites W582059137 @default.
- W2097659330 cites W639809503 @default.
- W2097659330 cites W957467550 @default.
- W2097659330 hasPublicationYear "2003" @default.
- W2097659330 type Work @default.
- W2097659330 sameAs 2097659330 @default.
- W2097659330 citedByCount "7" @default.
- W2097659330 countsByYear W20976593302012 @default.
- W2097659330 crossrefType "journal-article" @default.
- W2097659330 hasAuthorship W2097659330A5058033335 @default.
- W2097659330 hasAuthorship W2097659330A5064362335 @default.
- W2097659330 hasAuthorship W2097659330A5078106020 @default.
- W2097659330 hasConcept C114614502 @default.
- W2097659330 hasConcept C118615104 @default.
- W2097659330 hasConcept C119238805 @default.
- W2097659330 hasConcept C138885662 @default.
- W2097659330 hasConcept C161491579 @default.
- W2097659330 hasConcept C16310669 @default.
- W2097659330 hasConcept C183778304 @default.
- W2097659330 hasConcept C202444582 @default.
- W2097659330 hasConcept C2778572836 @default.
- W2097659330 hasConcept C33923547 @default.
- W2097659330 hasConcept C4042151 @default.
- W2097659330 hasConcept C41895202 @default.
- W2097659330 hasConceptScore W2097659330C114614502 @default.
- W2097659330 hasConceptScore W2097659330C118615104 @default.
- W2097659330 hasConceptScore W2097659330C119238805 @default.
- W2097659330 hasConceptScore W2097659330C138885662 @default.
- W2097659330 hasConceptScore W2097659330C161491579 @default.
- W2097659330 hasConceptScore W2097659330C16310669 @default.
- W2097659330 hasConceptScore W2097659330C183778304 @default.
- W2097659330 hasConceptScore W2097659330C202444582 @default.
- W2097659330 hasConceptScore W2097659330C2778572836 @default.
- W2097659330 hasConceptScore W2097659330C33923547 @default.
- W2097659330 hasConceptScore W2097659330C4042151 @default.
- W2097659330 hasConceptScore W2097659330C41895202 @default.
- W2097659330 hasLocation W20976593301 @default.
- W2097659330 hasOpenAccess W2097659330 @default.
- W2097659330 hasPrimaryLocation W20976593301 @default.
- W2097659330 hasRelatedWork W1522473289 @default.
- W2097659330 hasRelatedWork W1710173367 @default.
- W2097659330 hasRelatedWork W1967875541 @default.
- W2097659330 hasRelatedWork W1983437996 @default.
- W2097659330 hasRelatedWork W1992208681 @default.
- W2097659330 hasRelatedWork W2017896704 @default.
- W2097659330 hasRelatedWork W2021226781 @default.
- W2097659330 hasRelatedWork W2031127959 @default.
- W2097659330 hasRelatedWork W2050656063 @default.
- W2097659330 hasRelatedWork W2059919415 @default.
- W2097659330 hasRelatedWork W2181259245 @default.
- W2097659330 hasRelatedWork W2317128859 @default.
- W2097659330 hasRelatedWork W2395940555 @default.
- W2097659330 hasRelatedWork W2800280891 @default.
- W2097659330 hasRelatedWork W2907748308 @default.
- W2097659330 hasRelatedWork W3179584023 @default.
- W2097659330 hasRelatedWork W3182533287 @default.
- W2097659330 hasRelatedWork W639809503 @default.
- W2097659330 hasRelatedWork W889869215 @default.
- W2097659330 hasRelatedWork W2563828531 @default.
- W2097659330 isParatext "false" @default.
- W2097659330 isRetracted "false" @default.
- W2097659330 magId "2097659330" @default.
- W2097659330 workType "article" @default.