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Fixed point index of iterations of local homeomorphisms of the plane: a Conley index approach. (English) Zbl 1009.54043
The authors introduce special index pairs, defined as filtration pairs, for a non-repeller fixed point “p” of a local homeomorphism \(f\) . These pairs allow to compute easily the fixed point index of any iteration of \(f\) at the point \(p\), provided that the singleton “p” is an isolated invariant set.

MSC:
54H25 Fixed-point and coincidence theorems (topological aspects)
54H20 Topological dynamics (MSC2010)
Keywords:
filtration pair
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