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Brouwer fixed-point theorem

Known as: Brouwer’s fixed point theorem, Brouwer Fixed Point Theorem, Brouwer fixed-point 
Brouwer's fixed-point theorem is a fixed-point theorem in topology, named after Luitzen Brouwer. It states that for any continuous function mapping a… 
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Related topics

Related topics

24 relations
Applied general equilibriumArrow–Debreu modelAutomated reasoningBorsuk–Ulam theorem

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2014
2014
Around Brouwer's fixed point theorem (Lecture notes)
These lecture notes were written about 15 years ago, with a history that goes back nearly 30 years for some parts. They can be… 
2013
2013
Brouwer fixed point theorem
2012
2012
The Brouwer fixed point theorem and the Borsuk--Ulam theorem
These informal notes, not intended for publication, provide an approach to the Borsuk--Ulam theorem via Stokes' theorem, in a… 
2011
2011
An easily verifiable proof of the Brouwer fixed point theorem
We give a remarkably elementary proof of the Brouwer fixed point theorem. The proof is verifiable for most of the mathematicians. 
2011
2011
Brouwer's fixed point theorem with sequentially at most one fixed point
In this paper we present a constructive proof of Brouwer's fixed point theorem with sequentially at most one fixed point, and… 
2009
2009
Brouwer's ε-fixed point from Sperner's lemma
It is by now common knowledge that Brouwer gave mathematics in 1911 a miraculous tool, the fixed point theorem, and that later in… 
Review
2008
Review
2008
Computable counter-examples to the Brouwer fixed-point theorem
This paper is an overview of results that show the Brouwer fixed-point theorem (BFPT) to be essentially non-constructive and non… 
1998
1998
Present state of the brouwer fixed point theorem for multivalued mappings
Nous donnons une retrospective de resultats recents concernant le theoreme de point fixe de Brouwer pour les applications… 
Highly Cited
1998
Highly Cited
1998
Topological structure of the London equation
A topological current is shown to exist in superconductivity. Using the $\ensuremath{\varphi}$-mapping topological current theory… 
1956
1956
A fixed point theorem
Suppose that space is metric. A chain is a finite collection of open sets d1, d2, * * * , dn such that di intersects dj if and… 
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