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Fixed point index of iterations of local homeomorphisms of the plane: a Conley index approach - MaRDI portal

Fixed point index of iterations of local homeomorphisms of the plane: a Conley index approach (Q1849802)

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scientific article; zbMATH DE number 1838827
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English
Fixed point index of iterations of local homeomorphisms of the plane: a Conley index approach
scientific article; zbMATH DE number 1838827

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    Fixed point index of iterations of local homeomorphisms of the plane: a Conley index approach (English)
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    2 December 2002
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    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.
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    filtration pair
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