Homotopy fiber products of homotopy theories

Details Homotopy fiber products of homotopy theories Homotopy fiber products of homotopy theories

2008-11-19

arxiv.org/abs/0811.3175v3

Mathematics

Algebraic Topology

17 pages; generally cleaned up, have localized model structure in specialized cases

Scientific paper

Given an appropriate diagram of left Quillen functors between model categories, one can define a notion of homotopy fiber product, but one might ask if it is really the correct one. Here, we show that this homotopy pullback is well-behaved with respect to translating it into the setting of more general homotopy theories, given by complete Segal spaces, where we have well-defined homotopy pullbacks.

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