Download 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 task in reference to the seventieth birthday of the Adam Mickiewicz college in Poznan, a world convention on algebraic topology was once held. within the ensuing lawsuits quantity, the emphasis is on colossal survey papers, a few provided on the convention, a few written subsequently.

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

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Math. Soc. 267 (1981), 193-194. 31. 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.

Ferry's definition was historically the second one and we briefly recall this approach following the description given in [2], §3. If denote by T(A) the mapping torus of A obtained from the mapping cylinder top and bottom of M(A) by means of the identity map. 1. Let u : S 1 --* S 1 be the homeomorphism given by the complex conjugation and B-1 the homotopy inverse to B . Denote by r(h) E WhG(T(A) ) the torsion of the G-homotopy equivalence h = B-lo(idx x u ) o B : T(A) --~ T(A). Definition [31],[2] An equivariant Ferry obstruction to finiteness is defined to be ~G(x) = B,(r(h)) ~ Whc(Xx s~).

Illman: The equivarlant triangulation theorem for actions of compact Lie groups, Math Ann. 262 (1983), 487-501. 24. S. Illman: A product formula for equivariant Whitehead torsion and geometric applications, Transformation Groups, Pozna~. 1985, pp. 123-142, Lecture Notes in Math. 1217, Springer Vlg 1986. 25. S. nlman: Actions of compact Lie groups and the equivariant Whitehead group, Osaka J. Math. 23 (1986), 881-927. 26. S. Illman: On some recent questions in equivariant simple homotopy theory, Transformation Groups and Whitehead Torsion, Proc.

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