Matches in SemOpenAlex for { <https://semopenalex.org/work/W1984433259> ?p ?o ?g. }
Showing items 1 to 88 of
88
with 100 items per page.
- W1984433259 abstract "begin{abstract} {footnotesize Let $langle X,Gammarangle$ be a uniform space with its uniformity generated by a set of pseudo-metrics $Gamma$. Let the symbol $``simeq$ denote the usual infinitesimal relation on $^*X$, and define a new infinitesimal relation $``approx$ by writing $xapprox y$ whenever $ ^*rho(x,p)simeq ^*rho(y,p)$ for each $rhoinGamma$ and each $pin X$. We show that a uniform space $langle X,Gammarangle$ has invariant nonstandard hulls if and only if the relations $simeq$ and $approx$ coincide on $text{fin}(^*X)$. We provide several internal and external formulations of the latter condition and use them to explore further properties of uniform spaces that satisfy these conditions. We discuss some interesting examples, hereditary properties, and their relations with topological spaces which admit only one compatible uniformity. Applications of the theory developed in this paper include a simple nonstandard proof of the interesting result that, in a regular Lindel{o}f space, a subset is relatively compact if and only if it is pseudo-compact. [.15in] bigskip Key Words: Uniform spaces, Nonstandard Topology} end{abstract}" @default.
- W1984433259 created "2016-06-24" @default.
- W1984433259 creator A5058770997 @default.
- W1984433259 date "2014-01-01" @default.
- W1984433259 modified "2023-10-01" @default.
- W1984433259 title "On uniform spaces with invariant nonstandard hulls" @default.
- W1984433259 cites W1561612893 @default.
- W1984433259 cites W1769506469 @default.
- W1984433259 cites W1969973601 @default.
- W1984433259 cites W1983437996 @default.
- W1984433259 cites W2029622922 @default.
- W1984433259 cites W2069787050 @default.
- W1984433259 cites W2093351408 @default.
- W1984433259 cites W2317289363 @default.
- W1984433259 cites W2323693948 @default.
- W1984433259 cites W2324621986 @default.
- W1984433259 cites W2326770291 @default.
- W1984433259 cites W28883802 @default.
- W1984433259 cites W566121181 @default.
- W1984433259 cites W604140817 @default.
- W1984433259 doi "https://doi.org/10.4115/jla.2014.6.1" @default.
- W1984433259 hasPublicationYear "2014" @default.
- W1984433259 type Work @default.
- W1984433259 sameAs 1984433259 @default.
- W1984433259 citedByCount "0" @default.
- W1984433259 crossrefType "journal-article" @default.
- W1984433259 hasAuthorship W1984433259A5058770997 @default.
- W1984433259 hasBestOaLocation W19844332591 @default.
- W1984433259 hasConcept C111919701 @default.
- W1984433259 hasConcept C114614502 @default.
- W1984433259 hasConcept C134306372 @default.
- W1984433259 hasConcept C138885662 @default.
- W1984433259 hasConcept C184720557 @default.
- W1984433259 hasConcept C18648836 @default.
- W1984433259 hasConcept C190470478 @default.
- W1984433259 hasConcept C202444582 @default.
- W1984433259 hasConcept C2777894999 @default.
- W1984433259 hasConcept C2778572836 @default.
- W1984433259 hasConcept C33923547 @default.
- W1984433259 hasConcept C37914503 @default.
- W1984433259 hasConcept C41008148 @default.
- W1984433259 hasConcept C41895202 @default.
- W1984433259 hasConcept C81332173 @default.
- W1984433259 hasConcept C91229774 @default.
- W1984433259 hasConceptScore W1984433259C111919701 @default.
- W1984433259 hasConceptScore W1984433259C114614502 @default.
- W1984433259 hasConceptScore W1984433259C134306372 @default.
- W1984433259 hasConceptScore W1984433259C138885662 @default.
- W1984433259 hasConceptScore W1984433259C184720557 @default.
- W1984433259 hasConceptScore W1984433259C18648836 @default.
- W1984433259 hasConceptScore W1984433259C190470478 @default.
- W1984433259 hasConceptScore W1984433259C202444582 @default.
- W1984433259 hasConceptScore W1984433259C2777894999 @default.
- W1984433259 hasConceptScore W1984433259C2778572836 @default.
- W1984433259 hasConceptScore W1984433259C33923547 @default.
- W1984433259 hasConceptScore W1984433259C37914503 @default.
- W1984433259 hasConceptScore W1984433259C41008148 @default.
- W1984433259 hasConceptScore W1984433259C41895202 @default.
- W1984433259 hasConceptScore W1984433259C81332173 @default.
- W1984433259 hasConceptScore W1984433259C91229774 @default.
- W1984433259 hasLocation W19844332591 @default.
- W1984433259 hasLocation W19844332592 @default.
- W1984433259 hasOpenAccess W1984433259 @default.
- W1984433259 hasPrimaryLocation W19844332591 @default.
- W1984433259 hasRelatedWork W1556156541 @default.
- W1984433259 hasRelatedWork W1778104262 @default.
- W1984433259 hasRelatedWork W1820657421 @default.
- W1984433259 hasRelatedWork W1837353865 @default.
- W1984433259 hasRelatedWork W1985504103 @default.
- W1984433259 hasRelatedWork W2010614566 @default.
- W1984433259 hasRelatedWork W2016802093 @default.
- W1984433259 hasRelatedWork W2022973139 @default.
- W1984433259 hasRelatedWork W2026718434 @default.
- W1984433259 hasRelatedWork W2045792842 @default.
- W1984433259 hasRelatedWork W2075154772 @default.
- W1984433259 hasRelatedWork W2090967649 @default.
- W1984433259 hasRelatedWork W2091058403 @default.
- W1984433259 hasRelatedWork W2245277484 @default.
- W1984433259 hasRelatedWork W2318332812 @default.
- W1984433259 hasRelatedWork W2319072768 @default.
- W1984433259 hasRelatedWork W2953286567 @default.
- W1984433259 hasRelatedWork W3024371711 @default.
- W1984433259 hasRelatedWork W3156817059 @default.
- W1984433259 hasRelatedWork W962998129 @default.
- W1984433259 isParatext "false" @default.
- W1984433259 isRetracted "false" @default.
- W1984433259 magId "1984433259" @default.
- W1984433259 workType "article" @default.