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

**Sample text**

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. 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).

London, Set. A, 295 (1966), 129-139. 57. G. Wasserman: Equivariant differentia/topology, Topology 8 (1969), 127-150. 58. D. Wehb: Equivariantly finite manifolds wltb no handle structure, (preprint). 59. S. Weinberger: Constructions of group actions: a survey of some recent developments, Group actions on manifolds, pp. 269-298~ Contemporary Math. 36 (1985). 60. S. Weinberger: an example in: Problems submitted to the AMS Summer Research Conference on Group Actions, Group actions on manifolds, ed.

1. In order to relate Liick's obstruction wG(X) to wHa(X)'s a sort of the realization result for the equivariant finiteness obstruction is needed. _~7 let Y be a finite G-complex and let { w~ } , wH~ E [ ( o ( I [ % ( W H ( Y ) ) ~ ] ) denote an arbitrary family of elements. (wH(X)) = ~ . 3. It also goes by induction on the number of elements of the set CI(Y) and the inductive step is based on the analogous realization result for relatively free action. The details can be found in [4]. Let now Y be a G-complex.