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Mathematics of the USSR-Izvestiya, 1987, Volume 28, Issue 1, Pages 151–174
DOI: https://doi.org/10.1070/IM1987v028n01ABEH000871 (Mi im1475) 		 
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
English version PDF (1536 kB) Citations (14)
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DOI: https://doi.org/10.1070/IM1987v028n01ABEH000871
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.
Received: 24.02.1984
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1986, Volume 50, Issue 1, Pages 156–180
Bibliographic databases:
UDC: 513.83
MSC: Primary 54C10, 54C45, 54C55, 54F45; Secondary 54C15, 54A25, 54B25
Language: English
Original paper language: Russian
Citation: 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
\Bibitem{Chi86}
\by A.~Ch.~Chigogidze
\paper Noncompact absolute extensors in dimension~$n$, $n$-soft mappings, and their applications
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1986
\vol 50
\issue 1
\pages 156--180
\mathnet{http://mi.mathnet.ru/im1475}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=835570}
\zmath{https://zbmath.org/?q=an:0617.54015|0603.54018}
\transl
\jour Math. USSR-Izv.
\yr 1987
\vol 28
\issue 1
\pages 151--174
\crossref{https://doi.org/10.1070/IM1987v028n01ABEH000871}
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  • https://www.mathnet.ru/eng/im/v50/i1/p156
    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:761
    Russian version PDF:121
    English version PDF:27
    References:81
    First page:2
     
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