Spaces which are the fixed point set of actions of a finite group

Spaces which are the fixed point set of actions of a finite group

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Sylvain Cappell, Courant Institute, NYU
Fine Hall 214

We consider general problems of which spaces can be the fixed point sets of a (semi-free) action of a given finite group on a compact space of prescribed homotopy type. We treat such questions for finite cell complexes, for compact ANR's, and allowing these spaces to be non-simply connected.

This is joint work with Shmuel Weinberger and Min Yan.