Lefschetz fixed-point theorem
id:
lefschetz-fixed-point-theorem-205-3450175
title:
Lefschetz fixed-point theorem
text:
In mathematics, the Lefschetz fixed-point theorem is a formula that counts the fixed points of a continuous mapping from a compact topological space X to itself by means of traces of the induced mappings on the homology groups of X. It is named after Solomon Lefschetz, who first stated it in 1926. The counting is subject to an imputed multiplicity at a fixed point called the fixed-point index. A weak version of the theorem is enough to show that a mapping without any fixed point must have rather
brand slug:
wiki
category slug:
encyclopedia
description:
Counts the fixed points of a continuous mapping from a compact topological space to itself
original url:
https://en.wikipedia.org/wiki/Lefschetz_fixed-point_theorem
date created:
2004-04-07T18:31:17Z
date modified:
2024-09-10T06:27:00Z
main entity:
{"identifier":"Q657469","url":"https://www.wikidata.org/entity/Q657469"}
image:
fields total:
13
integrity:
15