A simplicial monotone-light factorization theorem
J. Walker (1974)
Fundamenta Mathematicae
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Displaying similar documents to “Collapsing along monotone poset maps.”
A simplicial monotone-light factorization theorem
Simplicial approximation.
Jardine, J.F. (2004)
Theory and Applications of Categories [electronic only]
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On the planarity of 2-complexes
Frank Harary, Ronald H. Rosen (1976)
Colloquium Mathematicae
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Kan fibrations in the category of simplicial spaces
R. Seymour (1980)
Fundamenta Mathematicae
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-completeness and fixpoint properties
Marcel Erné (1988)
Archivum Mathematicum
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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....
Loop spaces of the Q-construction
A. Neeman (2000)
Fundamenta Mathematicae
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Giffen in [1], and Gillet-Grayson in [3], independently found a simplicial model for the loop space on Quillen's Q-construction. Their proofs work for exact categories. Here we generalise the results to the K-theory of triangulated categories. The old proofs do not generalise. Our new proof, aside from giving the generalised result, can also be viewed as an amusing new proof of the old theorems of Giffen and Gillet-Grayson.
Homotopy colimits and cohomology with local coefficients
M. Bullejos, E. Faro, M. A. García-Muñoz (2003)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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