Editing Brouwer fixed-point theorem (section)

==References==
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*{{cite journal |first1=Shui Nee |last1=Chow |first2=John |last2=Mallet-Paret |first3=James A. |last3=Yorke |author3-link=James A. Yorke | title=Finding zeroes of maps: Homotopy methods that are constructive with probability one |journal=[[Mathematics of Computation]] |volume=32 |year=1978 |issue= 143|pages=887–899 |doi=10.1090/S0025-5718-1978-0492046-9|mr=0492046|doi-access=free }}
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8. Les théorèmes de Brouwer|pages=44–47}}
* {{cite book|mr=0995842|last=Dieudonné|first=Jean|title=A history of algebraic and differential topology, 1900–1960|publisher= [[Birkhäuser]]| year= 1989|isbn= 0-8176-3388-X|pages=166–203}}
*{{cite journal|author=Gale, D. |year=1979|title=The Game of Hex and Brouwer Fixed-Point Theorem | journal=The American Mathematical Monthly | volume=86 | pages=818–827|doi=10.2307/2320146|jstor=2320146|issue=10}}
*{{cite book |first=Morris W. |last=Hirsch | author-link=Morris Hirsch| title=Differential Topology |location=New York |publisher=Springer |year=1988 |isbn=978-0-387-90148-0 }} (see p.&nbsp;72–73 for Hirsch's proof utilizing non-existence of a differentiable retraction)
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*{{cite book |editor-first=S. |editor-last=Karamardian |title=Fixed Points: Algorithms and Applications |publisher=Academic Press |year=1977 |isbn=978-0-12-398050-2 }}
*{{cite journal |first1=R. Bruce |last1=Kellogg |first2=Tien-Yien |last2=Li |first3=James A. |last3=Yorke |author3-link=James A. Yorke| title=A constructive proof of the Brouwer fixed point theorem and computational results |journal=[[SIAM Journal on Numerical Analysis]] |volume=13 |year=1976 |issue=4 |pages=473–483 |doi=10.1137/0713041|bibcode=1976SJNA...13..473K |mr=0416010}}
*{{cite journal|first=Władysław|last= Kulpa|title=An integral theorem and its applications to coincidence theorems|journal=Acta Universitatis Carolinae. Mathematica et Physica|volume= 30|year=1989|issue=2|pages=
83–90|url= http://dml.cz/dmlcz/702154}}
*Leoni, Giovanni (2017). ''[http://bookstore.ams.org/gsm-181/ A First Course in Sobolev Spaces: Second Edition]''. [[Graduate Studies in Mathematics]]. '''181'''. American Mathematical Society. pp.&nbsp;734. {{ISBN|978-1-4704-2921-8}}
*{{cite book|mr=1454127 |last1=Madsen|first1= Ib |last2= Tornehave|first2= Jørgen |title=
From calculus to cohomology: de Rham cohomology and characteristic classes|publisher= [[Cambridge University Press]]|year= 1997|isbn= 0-521-58059-5}}
*{{cite book|mr=0226651|last=Milnor|first= John W.|author-link=John Milnor|title=Topology from the differentiable viewpoint|publisher=[[University Press of Virginia]]|location= Charlottesville|year= 1965
|url=https://archive.org/details/topologyfromdiff0000miln}}
*{{cite journal|mr=0505523|last=Milnor|first= John W.|title=Analytic proofs of the 'hairy ball theorem' and the Brouwer fixed-point theorem|journal=[[Amer. Math. Monthly]]|volume=85 |year=1978|issue= 7|pages=521–524
|url=https://people.ucsc.edu/~lewis/Math208/hairyball.pdf |archive-url=https://ghostarchive.org/archive/20221009/https://people.ucsc.edu/~lewis/Math208/hairyball.pdf |archive-date=2022-10-09 |url-status=live|jstor=2320860}}
*{{springer | title=Brouwer theorem | id=B/b017670 | last=Sobolev | first=Vladimir I. | author-link=<!--Vladimir Ivanovich Sobolev-->}}
*{{cite book|last=Spanier|first= Edwin H.|title=Algebraic topology|publisher= McGraw-Hill |location= New York-Toronto-London|year= 1966}}