nLab
Brouwer's fixed point theorem

Context

Topology

topology (point-set topology, point-free topology)

see also differential topology, algebraic topology, functional analysis and topological homotopy theory

Introduction

Basic concepts

Universal constructions

Extra stuff, structure, properties

Examples

Basic statements

Theorems

Analysis Theorems

topological homotopy theory

Contents

Idea

Brouwer’s fixed point theorem says that every continuous function from a compact convex set to itself has at least one fixed point.

References

Discussion in cohesive homotopy type theory is in

Revised on April 22, 2017 09:32:13 by Urs Schreiber (92.218.150.85)