Brouwer Fixed Point Theorem in the General Case

Pole DC	Wartość	Język
dc.contributor.author	Pąk, Karol	-
dc.date.accessioned	2015-12-06T19:04:50Z	-
dc.date.available	2015-12-06T19:04:50Z	-
dc.date.issued	2011	-
dc.identifier.citation	Formalized Mathematics, Volume 19, Issue 3, 2011, Pages 151-153	-
dc.identifier.issn	1426-2630	-
dc.identifier.issn	1898-9934	-
dc.identifier.uri	http://hdl.handle.net/11320/3611	-
dc.description.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].	-
dc.language.iso	en	-
dc.publisher	De Gruyter Open	-
dc.title	Brouwer Fixed Point Theorem in the General Case	-
dc.type	Article	-
dc.identifier.doi	10.2478/v10037-011-0024-3	-
dc.description.Affiliation	Institute of Informatics, University of Białystok, Poland	-
dc.description.references	Grzegorz Bancerek. Cardinal numbers. Formalized Mathematics, 1(2):377-382, 1990.	-
dc.description.references	Grzegorz Bancerek. The fundamental properties of natural numbers. Formalized Mathematics, 1(1):41-46, 1990.	-
dc.description.references	Grzegorz Bancerek. The ordinal numbers. Formalized Mathematics, 1(1):91-96, 1990.	-
dc.description.references	Agata Darmochwał. Compact spaces. Formalized Mathematics, 1(2):383-386, 1990.	-
dc.description.references	Agata Darmochwał. Families of subsets, subspaces and mappings in topological spaces. Formalized Mathematics, 1(2):257-261, 1990.	-
dc.description.references	Agata Darmochwał. The Euclidean space. Formalized Mathematics, 2(4):599-603, 1991.	-
dc.description.references	Noboru Endou, Takashi Mitsuishi, and Yasunari Shidama. Convex sets and convex combinations. Formalized Mathematics, 11(1):53-58, 2003.	-
dc.description.references	Noboru Endou, Takashi Mitsuishi, and Yasunari Shidama. Dimension of real unitary space. Formalized Mathematics, 11(1):23-28, 2003.	-
dc.description.references	Krzysztof Hryniewiecki. Basic properties of real numbers. Formalized Mathematics, 1(1):35-40, 1990.	-
dc.description.references	Stanisława Kanas, Adam Lecko, and Mariusz Startek. Metric spaces. Formalized Mathematics, 1(3):607-610, 1990.	-
dc.description.references	Artur Korniłowicz and Yasunari Shidama. Intersections of intervals and balls in En/T. Formalized Mathematics, 12(3):301-306, 2004.	-
dc.description.references	Artur Korniłowicz and Yasunari Shidama. Brouwer fixed point theorem for disks on the plane. Formalized Mathematics, 13(2):333-336, 2005.	-
dc.description.references	Yatsuka Nakamura, Andrzej Trybulec, and Czesław Byliński. Bounded domains and unbounded domains. Formalized Mathematics, 8(1):1-13, 1999.	-
dc.description.references	Beata Padlewska and Agata Darmochwał. Topological spaces and continuous functions. Formalized Mathematics, 1(1):223-230, 1990.	-
dc.description.references	Karol Sieklucki. Geometria i topologia. PWN, 1979.	-
dc.description.references	Andrzej Trybulec. Domains and their Cartesian products. Formalized Mathematics, 1(1):115-122, 1990.	-
dc.description.references	Andrzej Trybulec. A Borsuk theorem on homotopy types. Formalized Mathematics, 2(4):535-545, 1991.	-
dc.description.references	Wojciech A. Trybulec. Vectors in real linear space. Formalized Mathematics, 1(2):291-296, 1990.	-
dc.description.references	Zinaida Trybulec. Properties of subsets. Formalized Mathematics, 1(1):67-71, 1990.	-
dc.description.references	Edmund Woronowicz. Relations defined on sets. Formalized Mathematics, 1(1):181-186, 1990.	-
dc.description.references	Mirosław Wysocki and Agata Darmochwał. Subsets of topological spaces. Formalized Mathematics, 1(1):231-237, 1990.	-
Występuje w kolekcji(ach):	Artykuły naukowe (WInf) Formalized Mathematics, 2011, Volume 19, Issue 3

Pliki w tej pozycji:

Plik	Opis	Rozmiar	Format
v10037-011-0024-3.pdf		252,87 kB	Adobe PDF	Otwórz

Pokaż uproszczony widok rekordu Zobacz statystyki

Pozycja ta dostępna jest na podstawie licencji Licencja Creative Commons CCL