On a coincidence of mappings of compact spaces in topological groups
G. Skordev (1979)
Fundamenta Mathematicae
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G. Skordev (1979)
Fundamenta Mathematicae
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Hisahiro Tamano (1971)
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Karol Borsuk (1955)
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J. Jaworowski (1956)
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Marek Filakovský (2012)
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In the paper weak sufficient conditions for the reduction of the chain complex of a twisted cartesian product to a chain complex of free finitely generated abelian groups are found.
Vladimir Janković (1984)
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Klaus Heiner Kamps (1978)
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Adam Idzik, Konstanty Junosza-Szaniawski (2005)
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We formulate general boundary conditions for a labelling to assure the existence of a balanced n-simplex in a triangulated polyhedron. Furthermore we prove a Knaster-Kuratowski-Mazurkiewicz type theorem for polyhedrons and generalize some theorems of Ichiishi and Idzik. We also formulate a necessary condition for a continuous function defined on a polyhedron to be an onto function.
G. Skordev (1984)
Fundamenta Mathematicae
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Robert E. Reed
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CONTENTSPreface...................................................................................................................................... 5I. Introduction............................................................................................................................ 7II. Simple chains 2.1. Simplexes............................................................................................................ 12 2.2. Chains..............................................................................................................................