Algebraic Topology Poznań 1989: Proceedings of a Conference by C. Allday, V. Puppe (auth.), Stefan Jackowski, Bob Oliver, PDF

By C. Allday, V. Puppe (auth.), Stefan Jackowski, Bob Oliver, Krzystof Pawałowski (eds.)

As a part of the clinical job in reference to the seventieth birthday of the Adam Mickiewicz collage in Poznan, a world convention on algebraic topology was once held. within the ensuing complaints quantity, the emphasis is on huge survey papers, a few provided on the convention, a few written subsequently.

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Additional info for Algebraic Topology Poznań 1989: Proceedings of a Conference held in Poznań, Poland, June 22–27, 1989

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_! Let G be a finite group and X a G-complex 6-domlnated by a finite one. Let V be any unitary complex representation of the group G and s(V) its unit sphere. Then the product X x s(V) with the diagonal Gaction has the G-homotopy type o f a finite G-complex. 1 depends on the fact that s(V) has well-behaved equivariant Euler characteristic it is also true for other G-spaces with vanishing G-Euler characteristic (cf [33] cor. 4 ). In many situations when studying group actions one encounters the problem whether the G-space (or Gcomplex) obtained as a result of various constructions has the equivariant homotopy type of a finite G-complex.

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