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Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya Matematika, Mekhanika, Informatika, 2010, Volume 10, Issue 3, Pages 119–123 (Mi vngu54)  
One Characterization of Absolute Retracts and its Applications II

P. V. Chernikov

Novosibirsk State University
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Abstract: We prove some propositions on topological caracterization of the spaces $Q$ and $l_2$, and describe some properties of the absolute (neighborhood) retracts. The proofs are based on the equality $ANR(\mathfrak{M})\cap AR_\epsilon(\mathfrak{M})=AR(\mathfrak{M})$.
Keywords: Absolute (neighborhood) retract, $Q$-manifold, $l_2$-manifold, $Z$-set, $\epsilon$-retract.
Received: 18.02.2009
Document Type: Article
UDC: 513.83
Language: Russian
Citation: P. V. Chernikov, “One Characterization of Absolute Retracts and its Applications II”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 10:3 (2010), 119–123
Citation in format AMSBIB
\Bibitem{Che10}
\by P.~V.~Chernikov
\paper One Characterization of Absolute Retracts and its Applications~II
\jour Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform.
\yr 2010
\vol 10
\issue 3
\pages 119--123
\mathnet{http://mi.mathnet.ru/vngu54}
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