This article is cited in 3 papers

The Covering Homotopy Extension Problem for Compact Transformation Groups

S. M. Ageev^a, D. D. Repovš<sup>b

a</sup> Belarusian State University
^b University of Ljubljana

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.

UDC: 515.124.62, 515.122.4

Received: 15.11.2010
Revised: 09.10.2011

DOI: 10.4213/mzm8959

 English version: Mathematical Notes, 2012, 92:6, 737–750

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