A Proof of Bárány's Theorem
Žana Kovijanić (1994)
Publications de l'Institut Mathématique
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Žana Kovijanić (1994)
Publications de l'Institut Mathématique
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Murai, Satoshi (2009)
The Electronic Journal of Combinatorics [electronic only]
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Johannes Huebschmann (1981)
Mathematische Annalen
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Karol Borsuk (1948)
Fundamenta Mathematicae
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Peter Schenzel (1981)
Mathematische Zeitschrift
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C. Chan (1994)
Discrete & computational geometry
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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...
Jardine, J.F. (2004)
Theory and Applications of Categories [electronic only]
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Zhi Lü, Taras Panov (2011)
Open Mathematics
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We extend the construction of moment-angle complexes to simplicial posets by associating a certain T m-space Z S to an arbitrary simplicial poset S on m vertices. Face rings ℤ[S] of simplicial posets generalise those of simplicial complexes, and give rise to new classes of Gorenstein and Cohen-Macaulay rings. Our primary motivation is to study the face rings ℤ[S] by topological methods. The space Z S has many important topological properties of the original moment-angle complex Z K associated...
Richard Z. Goldstein (1976)
Compositio Mathematica
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