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
_! 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  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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S. Kwasik: On equivariant finiteness, Compositio Math. 48 (1983), 363-372. 32. S. Kwasik: Locally smooth G-manifolds, Amer. 3. Math. 108 (1986), 27-37. 33. W. Liick: The geometric finiteness obstruction, Proc. London Math. Soc. 54 (1987), 367-384 34. W. Lfick: Transformation groups and algebraic K-theory, Lecture Notes in Math. 1408, Springer Vlg 1989. 35. I. B. C. Wall: The topological spherical space form problem-II; existence of free actions, Topology 15 (1976), 375-382. 36. I. Madsen, M. Rothenberg: On the classification of G-spheres Ilh TOP automorphism groups, preprint 14 (1985), Aarhus Univ.