Centric maps and realization of diagrams in the homotopy category

Dwyer, W. G.; Kan, D. M.

doi:10.1090/S0002-9939-1992-1070515-X

Centric maps and realization of diagrams in the homotopy category
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by W. G. Dwyer and D. M. Kan PDF

Proc. Amer. Math. Soc. 114 (1992), 575-584 Request permission

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.

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