Indices of fixed points not accumulated by periodic points
Luis Hernandez-Corbato

TL;DR
This paper constructs continuous maps on Euclidean spaces with a single fixed point and prescribed fixed point indices sequence, demonstrating the realization of certain algebraic relations in dynamical systems.
Contribution
It proves the existence of maps with a unique fixed point and a specified sequence of fixed point indices satisfying Dold relations, expanding understanding of fixed point index realizability.
Findings
Existence of maps with a single fixed point and prescribed index sequence
Construction of maps satisfying Dold relations
Demonstration of index sequence realizability in Euclidean spaces
Abstract
We prove that for every integer sequence satisfying Dold relations there exists a map , , such that , where denotes the origin, and .
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