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JOURNALS // Siberian Journal of Pure and Applied Mathematics // Archive

Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 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

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.

UDC: 513.83

Received: 18.02.2009



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