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Homotopy theory of small diagrams over large categories
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Boris Chorny
Published/Copyright:
March 12, 2009
Abstract
Let ๐ be a large category which is cocomplete. We construct a model structure (in the sense of Quillen) on the category of small functors from ๐ to simplicial sets. As an application we construct homotopy localization functors on the category of simplicial sets which satisfy a stronger universal property than the customary homotopy localization functors do.
Received: 2007-06-08
Published Online: 2009-03-12
Published in Print: 2009-March
ยฉ de Gruyter 2009
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Articles in the same Issue
- Homotopy theory of small diagrams over large categories
- A classification of transitive ovoids, spreads, and m-systems of polar spaces
- Frobenius complements of exponent dividing 2m ยท 9
- Asymptotics of class numbers for progressions and for fundamental discriminants
- A difference characterization of Besov and Triebel-Lizorkin spaces on RD-spaces
- A topological version of the Bergman property
- A unified treatment of certain majorization results on eigenvalues and singular values of matrices
- Finite index subgroups of conjugacy separable groups
- A Bohr-like compactification and summability of Fourier series
