Finiteness Obstructions of Equivariant Fibrations

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Let G be a compact Lie group and E?B a G-fibration. We define a homomorphism WaG(B)?UG(B) into WaG(E)?UG(E) sending the pair of the finiteness obstruction of B and the equivariant Euler characteristic of B to that of E. Here WaG is the functor from the G-homotopy category of finitely dominated G-CW complexes into the category of abelian groups given by W. Lück. By making use of this, we show that if H and K are closed subgroups with H or K normal such that W(HK) is not finite, G HX is K-homotopy equivalent to a finite K-CW complex.

Original languageEnglish
Pages (from-to)627-637
Number of pages11
JournalPublications of the Research Institute for Mathematical Sciences
Issue number4
Publication statusPublished - 1991

All Science Journal Classification (ASJC) codes

  • General Mathematics


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