[图书][B] Homotopy theories
A Heller - 1988 - books.google.com
Page 1 Number 383 Alex Heller Homotopy theories Memoirs of the American Mathematical
Society Providence. Rhode Island USA January 1988 . Volume 71 : Number 383 (end of volume) …
Society Providence. Rhode Island USA January 1988 . Volume 71 : Number 383 (end of volume) …
[HTML][HTML] A characterization of simplicial localization functors and a discussion of DK equivalences
C Barwick, DM Kan - Indagationes Mathematicae, 2012 - Elsevier
In a previous paper, we lifted Charles Rezk's complete Segal model structure on the
category of simplicial spaces to a Quillen equivalent one on the category of “relative …
category of simplicial spaces to a Quillen equivalent one on the category of “relative …
Covariant model structures and simplicial localization
D Stevenson - arXiv preprint arXiv:1512.04815, 2015 - arxiv.org
In this paper we prove that for any simplicial set $ B $, there is a Quillen equivalence
between the covariant model structure on $\mathbf {S}/B $ and a certain localization of the …
between the covariant model structure on $\mathbf {S}/B $ and a certain localization of the …
[PDF][PDF] Closed categories, lax limits and homotopy limits
JW Gray - Journal of Pure and Applied Algebra, 1980 - core.ac.uk
The genesis of this paper lies in the proof in [20] that the nerve functor carries lax colimits in
the category Cat of small categories to homotopy colimits in the category. X of simplicial sets …
the category Cat of small categories to homotopy colimits in the category. X of simplicial sets …
[PDF][PDF] Homotopy inverses for nerve
R Fritsch, DM Latch - Mathematische Zeitschrift, 1981 - epub.ub.uni-muenchen.de
In [19] simple conditions on “categorical simplices” are given so that, up to homotopy, the
only reasonable assignment of a (semi-) simplicial set to a small category is the standard …
only reasonable assignment of a (semi-) simplicial set to a small category is the standard …
A Thomason model structure on the category of small n–fold categories
TM Fiore, S Paoli - Algebraic & Geometric Topology, 2010 - msp.org
We construct a cofibrantly generated Quillen model structure on the category of small n–fold
categories and prove that it is Quillen equivalent to the standard model structure on the …
categories and prove that it is Quillen equivalent to the standard model structure on the …
Thomason cohomology of categories
We investigate cohomology and homology theories of categories with general coefficients
given by functors on simplex categories first studied by Thomason. These generalize Baues …
given by functors on simplex categories first studied by Thomason. These generalize Baues …
[PDF][PDF] Simplicial sets from categories
DM Latch, RW Thomason… - Mathematische Zeitschrift, 1979 - math.uchicago.edu
In this paper we show that, up to homotopy, the only" reasonable" functor which assigns a
CW complex to every small category is the classifying space construction. This result is part …
CW complex to every small category is the classifying space construction. This result is part …
[图书][B] Representations of crossed modules and cat1-groups
M Forrester-Barker - 2003 - search.proquest.com
Cat 1-groups and crossed modules are equivalent formulations of 2-groups (a
twodimensional generalisation of the concept of group). A linear representation of the cat 1 …
twodimensional generalisation of the concept of group). A linear representation of the cat 1 …
Gabriel–Zisman cohomology and spectral sequences
Extending constructions by Gabriel and Zisman, we develop a functorial framework for the
cohomology and homology of simplicial sets with very general coefficient systems given by …
cohomology and homology of simplicial sets with very general coefficient systems given by …