This article is cited in 14 papers

Noncompact absolute extensors in dimension $n$, $n$-soft mappings, and their applications

A. Ch. Chigogidze


Abstract: $R$-compact absolute extensors in dimension $n$ ($AE(n)$) and $n$-soft mappings are defined and studied. Spectral characterizations are obtained not only for $AE(n)$-spaces but also for $n$-soft mappings themselves; this is new even in the compact case. The technique developed is applied to the study of certain questions of functional analysis and the theory of nonmetrizable manifolds modeled on topological vector spaces.
Bibliography: 27 titles.

UDC: 513.83

MSC: Primary 54C10, 54C45, 54C55, 54F45; Secondary 54C15, 54A25, 54B25

Received: 24.02.1984

 English version: Mathematics of the USSR-Izvestiya, 1987, 28:1, 151–174

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