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 ISOV are proved.
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Original Russian Text © S. M. Ageev, D. Repovš, 2012, published in Matematicheskie Zametki, 2012, Vol. 92, No. 6, pp. 803–818.
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Ageev, S.M., Repovš, D. The covering homotopy extension problem for compact transformation groups. Math Notes 92, 737–750 (2012). https://doi.org/10.1134/S0001434612110181
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DOI: https://doi.org/10.1134/S0001434612110181