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Sibirskii Matematicheskii Zhurnal, 2002, Volume 43, Number 5, Pages 1115–1129 (Mi smj1354)  

On pseudocompact, countably compact, locally bicompact mappings, and $k$-mappings

Yu. N. Mironova

Moscow State Financial Academy
Abstract: We consider various definitions of a pseudocompact mapping and the basic properties of pseudocompact mappings. Moreover, we consider the definition of countable compactness of a continuous mapping and study the properties of a countably compact mapping similar to the corresponding properties for countably compact spaces and also the interrelation between countable compactness and pseudocompactness of mappings. We also extend the notions of local bicompactness and $k$-space to continuous mappings.
Keywords: pseudocompactness, countable compactness, local bicompactness, $k$-mapping.
Received: 16.10.2001
English version:
Siberian Mathematical Journal, 2002, Volume 43, Issue 5, Pages 899–909
DOI: https://doi.org/10.1023/A:1020111008536
Bibliographic databases:
UDC: 515.1
Language: Russian
Citation: Yu. N. Mironova, “On pseudocompact, countably compact, locally bicompact mappings, and $k$-mappings”, Sibirsk. Mat. Zh., 43:5 (2002), 1115–1129; Siberian Math. J., 43:5 (2002), 899–909
Citation in format AMSBIB
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\by Yu.~N.~Mironova
\paper On pseudocompact, countably compact, locally bicompact mappings, and $k$-mappings
\jour Sibirsk. Mat. Zh.
\yr 2002
\vol 43
\issue 5
\pages 1115--1129
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1946268}
\zmath{https://zbmath.org/?q=an:1018.54010}
\transl
\jour Siberian Math. J.
\yr 2002
\vol 43
\issue 5
\pages 899--909
\crossref{https://doi.org/10.1023/A:1020111008536}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000178696400012}
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    Сибирский математический журнал Siberian Mathematical Journal
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