Homotopy colimits in the category of small categories
Author:
- 1 January 1979
- journal article
- research article
- Published by Cambridge University Press (CUP) in Mathematical Proceedings of the Cambridge Philosophical Society
- Vol. 85 (1) , 91-109
Abstract
In (13), Quillen defines a higher algebraic K-theory by taking homotopy groups of the classifying spaces of certain categories. Certain questions in K-theory then become questions such as when do functors induce a homotopy equivalence of classifying spaces, or when is a square of categories homotopy cartesian? Quillen has given some techniques for answering such questions. F. Waldhausen has extended these ideas in (19), and broadened the range of applications to include geometric topology (20).Keywords
This publication has 4 references indexed in Scilit:
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- Categories and cohomology theoriesTopology, 1974
- Homotopy limits and colimitsMathematische Zeitschrift, 1973
- Classifying spaces and spectral sequencesPublications mathématiques de l'IHÉS, 1968