On the classification of fibrations

Blomgren, M.; Chachólski, W.

doi:10.1090/S0002-9947-2014-06142-4

On the classification of fibrations
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by M. Blomgren and W. Chachólski PDF

Trans. Amer. Math. Soc. 367 (2015), 519-557 Request permission

Abstract:

We identify the homotopy type of the moduli of maps with a given homotopy type of the base and the homotopy fiber. A new model for the space of weak equivalences and its classifying space is given.

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