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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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Papers overview

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2014
2014
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
2012
2012
These informal notes, not intended for publication, provide an approach to the Borsuk--Ulam theorem via Stokes' theorem, in a… 
2011
2011
We give a remarkably elementary proof of the Brouwer fixed point theorem. The proof is verifiable for most of the mathematicians. 
2009
2009
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
This paper is an overview of results that show the Brouwer fixed-point theorem (BFPT) to be essentially non-constructive and non… 
1999
1999
The original Brouwerian counter examples were algorithmic in nature; after the introduction of choice sequences, Brouwer devised… 
1998
1998
Nous donnons une retrospective de resultats recents concernant le theoreme de point fixe de Brouwer pour les applications… 
Highly Cited
1998
Highly Cited
1998
A topological current is shown to exist in superconductivity. Using the $\ensuremath{\varphi}$-mapping topological current theory…