Brouwer Fixed Point Theorem in the General Case
Formalized Mathematics (2011)
- Volume: 19, Issue: 3, page 151-153
- ISSN: 1426-2630
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topKarol Pąk. "Brouwer Fixed Point Theorem in the General Case." Formalized Mathematics 19.3 (2011): 151-153. <http://eudml.org/doc/267987>.
@article{KarolPąk2011,
abstract = {In this article we prove the Brouwer fixed point theorem for an arbitrary convex compact subset of εn with a non empty interior. This article is based on [15].},
author = {Karol Pąk},
journal = {Formalized Mathematics},
language = {eng},
number = {3},
pages = {151-153},
title = {Brouwer Fixed Point Theorem in the General Case},
url = {http://eudml.org/doc/267987},
volume = {19},
year = {2011},
}
TY - JOUR
AU - Karol Pąk
TI - Brouwer Fixed Point Theorem in the General Case
JO - Formalized Mathematics
PY - 2011
VL - 19
IS - 3
SP - 151
EP - 153
AB - In this article we prove the Brouwer fixed point theorem for an arbitrary convex compact subset of εn with a non empty interior. This article is based on [15].
LA - eng
UR - http://eudml.org/doc/267987
ER -
References
top- Grzegorz Bancerek. Cardinal numbers. Formalized Mathematics, 1(2):377-382, 1990.
- Grzegorz Bancerek. The fundamental properties of natural numbers. Formalized Mathematics, 1(1):41-46, 1990. Zbl06213858
- Grzegorz Bancerek. The ordinal numbers. Formalized Mathematics, 1(1):91-96, 1990.
- Agata Darmochwał. Compact spaces. Formalized Mathematics, 1(2):383-386, 1990.
- Agata Darmochwał. Families of subsets, subspaces and mappings in topological spaces. Formalized Mathematics, 1(2):257-261, 1990.
- Agata Darmochwał. The Euclidean space. Formalized Mathematics, 2(4):599-603, 1991.
- Noboru Endou, Takashi Mitsuishi, and Yasunari Shidama. Convex sets and convex combinations. Formalized Mathematics, 11(1):53-58, 2003.
- Noboru Endou, Takashi Mitsuishi, and Yasunari Shidama. Dimension of real unitary space. Formalized Mathematics, 11(1):23-28, 2003.
- Krzysztof Hryniewiecki. Basic properties of real numbers. Formalized Mathematics, 1(1):35-40, 1990.
- Stanisława Kanas, Adam Lecko, and Mariusz Startek. Metric spaces. Formalized Mathematics, 1(3):607-610, 1990.
- Artur Korniłowicz and Yasunari Shidama. Intersections of intervals and balls in εn/TFormalized Mathematics, 12(3):301-306, 2004.
- Artur Korniłowicz and Yasunari Shidama. Brouwer fixed point theorem for disks on the plane. Formalized Mathematics, 13(2):333-336, 2005.
- Yatsuka Nakamura, Andrzej Trybulec, and Czesław Byliński. Bounded domains and unbounded domains. Formalized Mathematics, 8(1):1-13, 1999.
- Beata Padlewska and Agata Darmochwał. Topological spaces and continuous functions. Formalized Mathematics, 1(1):223-230, 1990.
- Karol Sieklucki. Geometria i topologia. PWN, 1979.
- Andrzej Trybulec. Domains and their Cartesian products. Formalized Mathematics, 1(1):115-122, 1990.
- Andrzej Trybulec. A Borsuk theorem on homotopy types. Formalized Mathematics, 2(4):535-545, 1991.
- Wojciech A. Trybulec. Vectors in real linear space. Formalized Mathematics, 1(2):291-296, 1990.
- Zinaida Trybulec. Properties of subsets. Formalized Mathematics, 1(1):67-71, 1990.
- Edmund Woronowicz. Relations defined on sets. Formalized Mathematics, 1(1):181-186, 1990.
- Mirosław Wysocki and Agata Darmochwał. Subsets of topological spaces. Formalized Mathematics, 1(1):231-237, 1990.
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