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A Poincaré formula for the fixed point indices of the iterates of arbitrary planar homeomorphisms. (English) Zbl 1196.54068

The authors compute the local fixed point indices of iterates of local plane homeomorphisms at isolated fixed points without differentiability assumptions invoking ideas from Conley index theory. The details are rather cumbersome and the results are too lengthy to be explained here.

MSC:

54H25 Fixed-point and coincidence theorems (topological aspects)
37B30 Index theory for dynamical systems, Morse-Conley indices
54H20 Topological dynamics (MSC2010)
55M25 Degree, winding number
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References:

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