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… (More)
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Papers overview

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2016
2016
The Brouwer Fixed Point Theorem Revisited
We revisit the investigation of the computational content of the Brouwer Fixed Point Theorem in [7], and answer the two open… (More)
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2013
2013
Brouwer fixed point theorem in ( L ) d
*Correspondence: kupper@uni-konstanz.de 2Universität Konstanz, Universitätsstraße 10, Konstanz, 78464, Germany Full list of… (More)
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2012
2012
A Brouwer fixed point theorem for graph endomorphisms
We prove a Lefschetz formula L(T ) = ∑ x∈F iT (x) for graph endomorphisms T : G → G, where G is a general finite simple graph and… (More)
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2012
2012
On the Computational Content of the Brouwer Fixed Point Theorem
We study the computational content of the Brouwer Fixed Point Theorem in the Weihrauch lattice. One of our main results is that… (More)
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2012
2012
Connected Choice and the Brouwer Fixed Point Theorem
We study the computational content of the Brouwer Fixed Point Theorem in the Weihrauch lattice. Connected choice is the operation… (More)
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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… (More)
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2008
2008
Brouwer's fixed point theorem (abstract only)
"Brouwer's Fixed Point Theorem" was named after the Dutch mathematician "L. E. J. Brouwer". This theorem states that for every… (More)
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Highly Cited
2007
Highly Cited
2007
The Game of Hex and the Brouwer Fixed-Point Theorem
Your use of the JSTOR archive indicates your acceptance of JSTOR's Terms and Conditions of Use, available at http://www.jstor.org… (More)
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2005
2005
Brouwer Fixed Point Theorem for Disks on the Plane
  • Artur Korni lowicz
  • 2005
The terminology and notation used in this paper are introduced in the following papers: [26], [9], [29], [2], [22], [28], [30… (More)
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2004
2004
The Brouwer Fixed Point Theorem for Intervals 1 Toshihiko
The following three propositions are true: (1) For all real numbers a, b, c, d such that a ≤ c and d ≤ b and c ≤ d holds [c, d… (More)
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