This article is cited in 14 scientific papers (total in 14 papers)
Noncompact absolute extensors in dimension $n$, $n$-soft mappings, and their applications
A. Ch. Chigogidze
$R$-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.
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Mathematics of the USSR-Izvestiya, 1987, 28:1, 151–174
MSC: Primary 54C10, 54C45, 54C55, 54F45; Secondary 54C15, 54A25, 54B25
A. Ch. Chigogidze, “Noncompact absolute extensors in dimension $n$, $n$-soft mappings, and their applications”, Izv. Akad. Nauk SSSR Ser. Mat., 50:1 (1986), 156–180; Math. USSR-Izv., 28:1 (1987), 151–174
Citation in format AMSBIB
\paper Noncompact absolute extensors in dimension~$n$, $n$-soft mappings, and their applications
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\jour Math. USSR-Izv.
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A. Ch. Chigogidze, “$n$-shapes and $n$-cohomotopy groups of compacta”, Math. USSR-Sb., 66:2 (1990), 329–342
A. Ch. Chigogidze, “The theory of $n$-shapes”, Russian Math. Surveys, 44:5 (1989), 145–174
V. V. Fedorchuk, “Probability measures in topology”, Russian Math. Surveys, 46:1 (1991), 45–93
M. M. Zarichnyi, “Absolute extensors and the geometry of multiplication of monads in the category of compacta”, Math. USSR-Sb., 74:1 (1993), 9–27
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