Simplicial approximation.
Jardine, J.F. (2004)
Theory and Applications of Categories [electronic only]
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Displaying similar documents to “Inverse limits of simplicial complexes”
Simplicial approximation.
On three types of simplicial objects
S. Balcerzyk, Phan Chan, R. Kiełpiński (1976)
Fundamenta Mathematicae
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Kan fibrations in the category of simplicial spaces
R. Seymour (1980)
Fundamenta Mathematicae
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Coherent prohomotopy theory
Timothy Porter (1978)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Modified Vietoris theorems for homotopy
J. Dugundji (1970)
Fundamenta Mathematicae
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The additivity theorem in algebraic -theory.
Grayson, Daniel R. (2011)
Documenta Mathematica
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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.
Classifying spaces and spectral sequences
Graeme Segal (1968)
Publications Mathématiques de l'IHÉS
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Cat as a closed model category
R. W. Thomason (1980)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Shape theory intrinsically.
Zvonko Cerin (1993)
Publicacions Matemàtiques
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We prove in this paper that the category HM whose objects are topological spaces and whose morphisms are homotopy classes of multi-nets is naturally equivalent to the shape theory Sh. The description of the category HM was given earlier in the article "Shape via multi-nets". We have shown there that HM is naturally equivalent to Sh only on a rather restricted class of spaces. This class includes all compact metric spaces where a similar intrinsic description of the shape category using...