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Fixed Point Indices and Manifolds with Collars

Research paper by Chen-Farng Benjamin, Daniel Henry Gottlieb

Indexed on: 11 May '05Published on: 11 May '05Published in: Mathematics - Geometric Topology



Abstract

This paper concerns a formula which relates the Lefschetz number L(f) for a map f:M --> M' to the fixed point index I(f) summed with the fixed point index of a derived map on part of the boundary of M. Here M is a compact manifold and M' is M with a collar attached.