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Matematicheskie Trudy, 2005, Volume 8, Number 2, Pages 184–198 (Mi mt66)  
Compactness of Complete Mappings and Its Connections with Various Kinds of Nonconnectednesses of Continuous Mappings

D. K. Musaev

Romanovskii Mathematical Institute of the National Academy of Sciences of Uzbekistan
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Abstract: We give some necessary and sufficient conditions for compactness of tubularly (weakly) $\Pi$-complete and (weakly) $\Pi$-complete mappings that generalize compact mappings in the class of Tychonoff mappings and still have many important properties of compact mappings. We study the relationship between complete mappings and various types of nonconnectednesses of continuous mappings.
Key words: tubularly (weakly) $\Pi$-complete mapping, tubularly ($O$-$C$)-finite mapping, tubularly ($O$-$C$)-compact mapping, (weakly) $\Pi$-complete mapping.
Received: 30.12.2004
Bibliographic databases:
UDC: 515.12
Language: Russian
Citation: D. K. Musaev, “Compactness of Complete Mappings and Its Connections with Various Kinds of Nonconnectednesses of Continuous Mappings”, Mat. Tr., 8:2 (2005), 184–198; Siberian Adv. Math., 16:2 (2006), 108–120
Citation in format AMSBIB
\Bibitem{Mus05}
\by D.~K.~Musaev
\paper Compactness of Complete Mappings and Its Connections with Various Kinds of Nonconnectednesses of Continuous Mappings
\jour Mat. Tr.
\yr 2005
\vol 8
\issue 2
\pages 184--198
\mathnet{http://mi.mathnet.ru/mt66}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2197730}
\elib{https://elibrary.ru/item.asp?id=9535725}
\transl
\jour Siberian Adv. Math.
\yr 2006
\vol 16
\issue 2
\pages 108--120
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    		Математические труды Siberian Advances in Mathematics
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