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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2016
2016
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
*Correspondence: kupper@uni-konstanz.de 2Universität Konstanz, Universitätsstraße 10, Konstanz, 78464, Germany Full list of… (More)
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2012
2012
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
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
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
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" 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
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
  • 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 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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