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Brouwer fixed-point theorem
Known as:
Brouwer’s fixed point theorem
, Brouwer Fixed Point Theorem
, Brouwer fixed-point
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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 equilibrium
Arrow–Debreu model
Automated reasoning
Borsuk–Ulam theorem
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Papers overview
Semantic Scholar uses AI to extract papers important to this topic.
2014
2014
Around Brouwer's fixed point theorem (Lecture notes)
J. Matoušek
,
G. Ziegler
,
A. Björner
2014
Corpus ID: 115805196
These lecture notes were written about 15 years ago, with a history that goes back nearly 30 years for some parts. They can be…
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2013
2013
Brouwer fixed point theorem
Математика
2013
Corpus ID: 125972477
2013
2013
Brouwer's fixed-point theorem
Henry Kirveslahti
2013
Corpus ID: 126005464
2012
2012
The Brouwer fixed point theorem and the Borsuk--Ulam theorem
A. Carbery
2012
Corpus ID: 119178183
These informal notes, not intended for publication, provide an approach to the Borsuk--Ulam theorem via Stokes' theorem, in a…
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2011
2011
An easily verifiable proof of the Brouwer fixed point theorem
Y. Takeuchi
,
Tomonari Suzuki
2011
Corpus ID: 116929767
We give a remarkably elementary proof of the Brouwer fixed point theorem. The proof is verifiable for most of the mathematicians.
2009
2009
Brouwer's ε-fixed point from Sperner's lemma
D. Dalen
2009
Corpus ID: 124037393
It is by now common knowledge that Brouwer gave mathematics in 1911 a miraculous tool, the fixed point theorem, and that later in…
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Review
2008
Review
2008
Computable counter-examples to the Brouwer fixed-point theorem
P. Potgieter
2008
Corpus ID: 18290571
This paper is an overview of results that show the Brouwer fixed-point theorem (BFPT) to be essentially non-constructive and non…
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1999
1999
From Brouwerian Counter Examples to the Creating Subject
D. Dalen
Studia Logica: An International Journal for…
1999
Corpus ID: 14334266
The original Brouwerian counter examples were algorithmic in nature; after the introduction of choice sequences, Brouwer devised…
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1998
1998
Present state of the brouwer fixed point theorem for multivalued mappings
L. Górniewicz
1998
Corpus ID: 124662831
Nous donnons une retrospective de resultats recents concernant le theoreme de point fixe de Brouwer pour les applications…
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Highly Cited
1998
Highly Cited
1998
Topological structure of the London equation
Y. Duan
,
Hong Zhang
,
S. Li
1998
Corpus ID: 121013174
A topological current is shown to exist in superconductivity. Using the $\ensuremath{\varphi}$-mapping topological current theory…
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