By S. Jackowski, B. Oliver, K. Pawaloski

As a part of the medical task in reference to the seventieth birthday of the Adam Mickiewicz collage in Poznan, a global convention on algebraic topology was once held. within the ensuing complaints quantity, the emphasis is on tremendous survey papers, a few awarded on the convention, a few written as a result.

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This quantity includes the court cases of a convention held on the college collage of North Wales (Bangor) in July of 1979. It assembles examine papers which replicate varied currents in low-dimensional topology. The topology of 3-manifolds, hyperbolic geometry and knot thought end up significant topics.

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28. C. C. Siebenmann: Foundational essays on topological manifolds, smoothlngs and triangulations, Ann. Math. Studies 88 (1977), Princeton Univ. Press. 29. T. C. Ku: Obstruction theory for finite group actions, Osaka J. Math. 18 (1981), 509-523. 30. S. Kwasik: On the equivariant homotopy type of G-ANR's, Proc. Amer. 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.

He was able to produce all the results obtained by Hilton (and mentioned in HI3) to the case when S q is replaced by a space E P and S p is replaced by a space EA. f is an infinite sum as before, indexed by r in the Hall basis of a free Lie algebra on two variables. In order to obtain his result he defined a model for the loop space over the suspension of a space, using free group functor 5t-, rather than the free monoid functor used by James. His theorenl 3, which is a lemma for theorem 4, specializes to give an alternative definition of James' invm-iants.

23 (1986), 881-927. 26. S. Illman: On some recent questions in equivariant simple homotopy theory, Transformation Groups and Whitehead Torsion, Proc. RIMS 633, Kyoto Univ. 19-33. 27. S. Illman: The restriction homomorphism ReSH: WhG(X) --, WhH(X ) for G a compact Lie group, (preprint, 1989). 28. C. C. Siebenmann: Foundational essays on topological manifolds, smoothlngs and triangulations, Ann. Math. Studies 88 (1977), Princeton Univ. Press. 29. T. C. Ku: Obstruction theory for finite group actions, Osaka J.