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  3. Formalized Mathematics
  4. Formalized Mathematics, 2012, Volume 20, Issue 2

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    • Proszę używać tego identyfikatora do cytowań lub wstaw link do tej pozycji: http://hdl.handle.net/11320/3634
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    Pole DCWartośćJęzyk
    dc.contributor.authorKorniłowicz, Artur-
    dc.contributor.authorRiccardi, Marco-
    dc.date.accessioned2015-12-06T19:05:35Z-
    dc.date.available2015-12-06T19:05:35Z-
    dc.date.issued2012-
    dc.identifier.citationFormalized Mathematics, Volume 20, Issue 2, 2012, Pages 105-112-
    dc.identifier.issn1426-2630-
    dc.identifier.issn1898-9934-
    dc.identifier.urihttp://hdl.handle.net/11320/3634-
    dc.description.abstractThe Borsuk-Ulam theorem about antipodals is proven, [18, pp. 32-33].-
    dc.description.sponsorshipThis work has been supported by the Polish Ministry of Science and Higher Education project “Managing a Large Repository of Computer-verified Mathematical Knowledge” (N N519 385136)-
    dc.language.isoen-
    dc.publisherDe Gruyter Open-
    dc.titleThe Borsuk-Ulam Theorem-
    dc.typeArticle-
    dc.identifier.doi10.2478/v10037-012-0014-0-
    dc.description.AffiliationKorniłowicz Artur - Institute of Informatics, University of Białystok, Sosnowa 64, 15-887 Białystok, Poland-
    dc.description.AffiliationRiccardi Marco - Via del Pero 102, 54038 Montignoso, Italy-
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    dc.description.referencesKanchun, Hiroshi Yamazaki, and Yatsuka Nakamura. Cross products and tripple vector products in 3-dimensional Euclidean space. Formalized Mathematics, 11(4):381-383, 2003.-
    dc.description.referencesArtur Korniłowicz. Arithmetic operations on functions from sets into functional sets. Formalized Mathematics, 17(1):43-60, 2009, doi:10.2478/v10037-009-0005-y.-
    dc.description.referencesArtur Korniłowicz. On the continuity of some functions. Formalized Mathematics, 18(3):175-183, 2010, doi: 10.2478/v10037-010-0020-z.-
    dc.description.referencesArtur Korniłowicz and Yasunari Shidama. Intersections of intervals and balls in EnT. Formalized Mathematics, 12(3):301-306, 2004.-
    dc.description.referencesArtur Korniłowicz and Yasunari Shidama. Some properties of circles on the plane. Formalized Mathematics, 13(1):117-124, 2005.-
    dc.description.referencesArtur Korniłowicz, Yasunari Shidama, and Adam Grabowski. The fundamental group. Formalized Mathematics, 12(3):261-268, 2004.-
    dc.description.referencesAkihiro Kubo and Yatsuka Nakamura. Angle and triangle in Euclidian topological space. Formalized Mathematics, 11(3):281-287, 2003.-
    dc.description.referencesAdam Naumowicz and Grzegorz Bancerek. Homeomorphisms of Jordan curves. Formalized Mathematics, 13(4):477-480, 2005.-
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    dc.description.referencesKonrad Raczkowski and Paweł Sadowski. Topological properties of subsets in real numbers. Formalized Mathematics, 1(4):777-780, 1990.-
    dc.description.referencesMarco Riccardi and Artur Korniłowicz. Fundamental group of n-sphere for n ≥ 2. Formalized Mathematics, 20(2):97-104, 2012, doi: 10.2478/v10037-012-0013-1.-
    dc.description.referencesPiotr Rudnicki and Andrzej Trybulec. Abian’s fixed point theorem. Formalized Mathematics, 6(3):335-338, 1997.-
    dc.description.referencesAndrzej Trybulec. Binary operations applied to functions. Formalized Mathematics, 1(2):329-334, 1990.-
    dc.description.referencesAndrzej Trybulec. Enumerated sets. Formalized Mathematics, 1(1):25-34, 1990.-
    dc.description.referencesAndrzej Trybulec. A Borsuk theorem on homotopy types. Formalized Mathematics, 2(4):535-545, 1991.-
    dc.description.referencesAndrzej Trybulec and Czesław Bylinski. Some properties of real numbers. Formalized Mathematics, 1(3):445-449, 1990.-
    dc.description.referencesMichał J. Trybulec. Integers. Formalized Mathematics, 1(3):501-505, 1990.-
    dc.description.referencesWojciech A. Trybulec. Vectors in real linear space. Formalized Mathematics, 1(2):291-296, 1990.-
    dc.description.referencesZinaida Trybulec. Properties of subsets. Formalized Mathematics, 1(1):67-71, 1990.-
    dc.description.referencesEdmund Woronowicz. Relations and their basic properties. Formalized Mathematics, 1(1):73-83, 1990.-
    dc.description.referencesEdmund Woronowicz. Relations defined on sets. Formalized Mathematics, 1(1):181-186, 1990.-
    dc.description.referencesYuguang Yang and Yasunari Shidama. Trigonometric functions and existence of circle ratio. Formalized Mathematics, 7(2):255-263, 1998.-
    Występuje w kolekcji(ach):Artykuły naukowe (WInf)
    Formalized Mathematics, 2012, Volume 20, Issue 2

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