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Matematicheskie Zametki, 2012, Volume 92, Issue 6, Pages 803–818
DOI: https://doi.org/10.4213/mzm8959 (Mi mzm8959) 		 
This article is cited in 3 scientific papers (total in 3 papers)

The Covering Homotopy Extension Problem for Compact Transformation Groups

S. M. Ageeva, D. D. Repovšb

a Belarusian State University
b University of Ljubljana
Full-text PDF (609 kB) Citations (3)
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DOI: https://doi.org/10.4213/mzm8959
Abstract: It is shown that the orbit space of universal (in the sense of Palais) $G$-spaces classifies $G$-spaces. Theorems on the extension of covering homotopy for $G$-spaces and on a homotopy representation of the isovariant category $\operatorname{ISOV}$ are proved.
Keywords: $G$-space, covering homotopy, compact transformation group, orbit space, universal $G$-space in the sense of Palais, absolute (neighborhood) extensor, classifying space.
Received: 15.11.2010
Revised: 09.10.2011
English version:
Mathematical Notes, 2012, Volume 92, Issue 6, Pages 737–750
DOI: https://doi.org/10.1134/S0001434612110181
Bibliographic databases:
Document Type: Article
UDC: 515.124.62, 515.122.4
Language: Russian
Citation: S. M. Ageev, D. D. Repovš, “The Covering Homotopy Extension Problem for Compact Transformation Groups”, Mat. Zametki, 92:6 (2012), 803–818; Math. Notes, 92:6 (2012), 737–750
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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