Homotopy theory of diagrams

2001

94 citations recorded by the source corpus.

Introduction Model approximations and bounded diagrams Homotopy theory of diagrams Properties of homotopy colimits Appendix A. Left Kan extensions preserve boundedness Appendix B. Categorical preliminaries Bibliography Index.

Subfields: Computational Theory and Mathematics, Discrete Mathematics and Combinatorics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/f722d16fbc4821a8e7c61c1eab4d20cee3ad624e

Citations in the corpus

Cofibrations in Homotopy Theory (2006, unknown): “For the general construction of homotopy colimits, we recommend the work of Dwyer, Kan, Hirschhorn and Smith [Smi04], Hirschhorn [Hir00], Weibel [Wei01] (after Thomason's unpublished notes), Chachólski and Scherer [Sch02] and Cisinski [Cis03].”
Algebraic Methods in Unstable Homotopy Theory (2010, unknown): “inverse limits is a weak homotopy equivalence [17, 24, 37].”
On Davis-Januszkiewicz homotopy types I; Formality and rationalisation (2003, unknown): “Alternatively, the methods of Chacholski and Scherer [6] lead to the same model structure on [cat(K),r] .”
Homotopy theory of modules over operads in symmetric spectra (2007, unknown): “veral model category structures. We assume the reader is familiar with model categories; a useful introduction is given in [3]. See also the original articles by Quillen [22, 23], and the more recent [2, 8, 12, 13]. 4.1. Adjunctions. The following adjunctions will be useful when working with coﬁbrat”