Centric maps and realization of diagrams in the homotopy category

Author:

Dwyer W. G.,Kan D. M.

Abstract

We study the problem of taking a diagram in the homotopy category and realizing it as a diagram in the category of spaces. Under some assumptions there is a relatively simple obstruction theory for doing this; these assumptions hold in two cases involving homotopy decomposition diagrams for the classifying spaces of compact Lie groups.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

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1. Cohomology of categories and extensions of twisted diagrams of groups;Journal of Pure and Applied Algebra;2012-02

2. Homology decompositions for p-compact groups;Advances in Mathematics;2007-12

3. Discrete models for thep–local homotopy theory of compact Lie groups andp–compact groups;Geometry & Topology;2007-03-16

4. On realizing diagrams of Π–algebras;Algebraic & Geometric Topology;2006-06-21

5. Quillen Grassmannians as non-modular homotopy fixed points;Mathematische Zeitschrift;2004-07-09

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