Finiteness Obstructions of Equivariant Fibrations

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

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
Volume27
Issue number4
DOIs
Publication statusPublished - Jan 1 1991

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Fingerprint Dive into the research topics of 'Finiteness Obstructions of Equivariant Fibrations'. Together they form a unique fingerprint.

Cite this