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CW decompositions of equivariant CW complexes

Published online by Cambridge University Press:  17 April 2009

M. Cencelj  and
N. Mramor Kosta
M. Cencelj
Affiliation:
Institute of Mathematics, Physics and Mechanics, Faculty of Computer and Information Science and Faculty of Education, University of Ljubljana, Jadranska 19, SI-1000 Ljublijana, Slovenia e-mail: [email protected]@fmf.uni-lj.si
N. Mramor Kosta
Affiliation:
Institute of Mathematics, Physics and Mechanics, Faculty of Computer and Information Science and Faculty of Education, University of Ljubljana, Jadranska 19, SI-1000 Ljublijana, Slovenia e-mail: [email protected]@fmf.uni-lj.si
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Abstract

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we discuss conditions which ensure that a G-CW complex is G-homotopy equivalent to a CW complex with cellular action with respect to some CW decomposition of the compact Lie group G. For G = SU (2), we prove that for every G-CW complex X, there exists a CW complex Y which is G-homotopy equivalent to X, such that the action G × Y → Y is a cellular map.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 65 , Issue 1 , February 2002 , pp. 45 - 53
Copyright
Copyright © Australian Mathematical Society 2002

References

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