Matches in SemOpenAlex for { <https://semopenalex.org/work/W2479779628> ?p ?o ?g. }
- W2479779628 endingPage "732" @default.
- W2479779628 startingPage "685" @default.
- W2479779628 abstract "This chapter discusses normality and collectionwise normality. A topological space is normal if there exist open sets UA and UB that separate disjoint closed sets A and B. Normality implies that any finite number of disjoint closed sets can be simultaneously separated. A convergent sequence with its limit point shows that “finite” cannot be extended to “countable.” A space is defined to be collectionwise normal if any discrete collection of closed sets can be separated. The chapter further presents theorems of Zermelo–Fraenkel set theory (ZFC). One can get from normality to collectionwise normality in ZFC if one or both of two circumstances hold: the canonical cover has a “nice” refinement or the elements of the collection are “nice.”" @default.
- W2479779628 created "2016-08-23" @default.
- W2479779628 creator A5050771177 @default.
- W2479779628 date "1984-01-01" @default.
- W2479779628 modified "2023-09-26" @default.
- W2479779628 title "Normality versus Collectionwise Normality" @default.
- W2479779628 cites W1039793004 @default.
- W2479779628 cites W113399344 @default.
- W2479779628 cites W1196166526 @default.
- W2479779628 cites W121930674 @default.
- W2479779628 cites W1593087802 @default.
- W2479779628 cites W1967605008 @default.
- W2479779628 cites W1969622279 @default.
- W2479779628 cites W1984874934 @default.
- W2479779628 cites W1991721857 @default.
- W2479779628 cites W2000708028 @default.
- W2479779628 cites W2005114630 @default.
- W2479779628 cites W2007158759 @default.
- W2479779628 cites W2014681471 @default.
- W2479779628 cites W2017946217 @default.
- W2479779628 cites W2018533444 @default.
- W2479779628 cites W2031111895 @default.
- W2479779628 cites W2045520909 @default.
- W2479779628 cites W2052673084 @default.
- W2479779628 cites W2053674696 @default.
- W2479779628 cites W2053970142 @default.
- W2479779628 cites W2054050146 @default.
- W2479779628 cites W2056779880 @default.
- W2479779628 cites W2068621379 @default.
- W2479779628 cites W2072419054 @default.
- W2479779628 cites W2087589896 @default.
- W2479779628 cites W2087986594 @default.
- W2479779628 cites W2090518544 @default.
- W2479779628 cites W2102584082 @default.
- W2479779628 cites W2122625012 @default.
- W2479779628 cites W2132309962 @default.
- W2479779628 cites W2135591108 @default.
- W2479779628 cites W2137233730 @default.
- W2479779628 cites W2165148101 @default.
- W2479779628 cites W2313005408 @default.
- W2479779628 cites W2319710171 @default.
- W2479779628 cites W2320182149 @default.
- W2479779628 cites W2328440000 @default.
- W2479779628 cites W2330457845 @default.
- W2479779628 cites W2330723401 @default.
- W2479779628 cites W2334006548 @default.
- W2479779628 cites W2334519732 @default.
- W2479779628 cites W2334696499 @default.
- W2479779628 cites W251670242 @default.
- W2479779628 cites W633941859 @default.
- W2479779628 cites W833853342 @default.
- W2479779628 cites W925738973 @default.
- W2479779628 cites W954530244 @default.
- W2479779628 cites W956150778 @default.
- W2479779628 cites W959278443 @default.
- W2479779628 cites W968001399 @default.
- W2479779628 doi "https://doi.org/10.1016/b978-0-444-86580-9.50018-5" @default.
- W2479779628 hasPublicationYear "1984" @default.
- W2479779628 type Work @default.
- W2479779628 sameAs 2479779628 @default.
- W2479779628 citedByCount "47" @default.
- W2479779628 countsByYear W24797796282012 @default.
- W2479779628 countsByYear W24797796282013 @default.
- W2479779628 countsByYear W24797796282015 @default.
- W2479779628 countsByYear W24797796282018 @default.
- W2479779628 countsByYear W24797796282020 @default.
- W2479779628 countsByYear W24797796282023 @default.
- W2479779628 crossrefType "book-chapter" @default.
- W2479779628 hasAuthorship W2479779628A5050771177 @default.
- W2479779628 hasConcept C105795698 @default.
- W2479779628 hasConcept C110729354 @default.
- W2479779628 hasConcept C114614502 @default.
- W2479779628 hasConcept C118615104 @default.
- W2479779628 hasConcept C127413603 @default.
- W2479779628 hasConcept C185429906 @default.
- W2479779628 hasConcept C196842392 @default.
- W2479779628 hasConcept C202444582 @default.
- W2479779628 hasConcept C2776157432 @default.
- W2479779628 hasConcept C2780428219 @default.
- W2479779628 hasConcept C33923547 @default.
- W2479779628 hasConcept C45340560 @default.
- W2479779628 hasConcept C65778772 @default.
- W2479779628 hasConcept C78519656 @default.
- W2479779628 hasConceptScore W2479779628C105795698 @default.
- W2479779628 hasConceptScore W2479779628C110729354 @default.
- W2479779628 hasConceptScore W2479779628C114614502 @default.
- W2479779628 hasConceptScore W2479779628C118615104 @default.
- W2479779628 hasConceptScore W2479779628C127413603 @default.
- W2479779628 hasConceptScore W2479779628C185429906 @default.
- W2479779628 hasConceptScore W2479779628C196842392 @default.
- W2479779628 hasConceptScore W2479779628C202444582 @default.
- W2479779628 hasConceptScore W2479779628C2776157432 @default.
- W2479779628 hasConceptScore W2479779628C2780428219 @default.
- W2479779628 hasConceptScore W2479779628C33923547 @default.
- W2479779628 hasConceptScore W2479779628C45340560 @default.
- W2479779628 hasConceptScore W2479779628C65778772 @default.
- W2479779628 hasConceptScore W2479779628C78519656 @default.
- W2479779628 hasLocation W24797796281 @default.