On the planarity of 2-complexes
Frank Harary, Ronald H. Rosen (1976)
Colloquium Mathematicae
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Displaying similar documents to “A Proof of Bárány's Theorem”
On the planarity of 2-complexes
On Subdivisions of Simplicial Complexes: Characterizing Local h-Vectors.
C. Chan (1994)
Discrete & computational geometry
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Brouwer Fixed Point Theorem for Simplexes
Karol Pąk (2011)
Formalized Mathematics
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In this article we prove the Brouwer fixed point theorem for an arbitrary simplex which is the convex hull of its n + 1 affinely indepedent vertices of εn. First we introduce the Lebesgue number, which for an arbitrary open cover of a compact metric space M is a positive real number so that any ball of about such radius must be completely contained in a member of the cover. Then we introduce the notion of a bounded simplicial complex and the diameter of a bounded simplicial complex....
On the Number of Faces of Simplicial Complexes and the Purity of Frobenius.
Peter Schenzel (1981)
Mathematische Zeitschrift
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Face vectors of two-dimensional Buchsbaum complexes.
Murai, Satoshi (2009)
The Electronic Journal of Combinatorics [electronic only]
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Aspherical 2-Complexes and an Unsettled Problem of J. H. C. Whitehead.
Johannes Huebschmann (1981)
Mathematische Annalen
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Simplicial approximation.
Jardine, J.F. (2004)
Theory and Applications of Categories [electronic only]
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On the imbedding of systems of compacta in simplicial complexes
Karol Borsuk (1948)
Fundamenta Mathematicae
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Free crossed resolutions from simplicial resolutions with given -basis
A. Mutlu, T. Porter (1999)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Effective homology for homotopy colimit and cofibrant replacement
Marek Filakovský (2014)
Archivum Mathematicum
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We extend the notion of simplicial set with effective homology presented in [22] to diagrams of simplicial sets. Further, for a given finite diagram of simplicial sets such that each simplicial set has effective homology, we present an algorithm computing the homotopy colimit as a simplicial set with effective homology. We also give an algorithm computing the cofibrant replacement of as a diagram with effective homology. This is applied to computing of equivariant cohomology...