EMIS ELibM Electronic Journals Journal of Lie Theory
Vol. 15, No. 2, pp. 447–456 (2005)

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Lifting Smooth Homotopies of Orbit Spaces of proper Lie group actions

Marja Kankaanrinta

Marja Kankaanrinta
Department of Mathematics
University of Virginia
Charlottesville, VA 22904-4137 USA
mk5aq@virginia.edu

Abstract: By a result of G. W. Schwarz, a smooth version of R. S. Palais' covering homotopy theorem holds for actions of compact Lie groups. This paper extends the result of Schwarz to the case of proper actions of non-compact Lie groups. An isotopy lifting theorem is obtained as a corollary. \endgraf { \eightsl

Keywords: smooth, homotopy, proper, Lie group and slice

Classification (MSC2000): 57S20

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