Fixed-point index
id:
fixed-point-index-234-14009305
title:
Fixed-point index
text:
In mathematics, the fixed-point index is a concept in topological fixed-point theory, and in particular Nielsen theory. The fixed-point index can be thought of as a multiplicity measurement for fixed points. The index can be easily defined in the setting of complex analysis: Let f(z) be a holomorphic mapping on the complex plane, and let z0 be a fixed point of f. Then the function f(z) − z is holomorphic, and has an isolated zero at z0. We define the fixed-point index of f at z0, denoted i(f, z0
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wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Fixed-point_index
date created:
date modified:
2024-01-21T16:14:53Z
main entity:
{"identifier":"Q5456324","url":"https://www.wikidata.org/entity/Q5456324"}
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fields total:
13
integrity:
13