Fibrations that are cofibrations

Alonso, Juan M.

doi:10.1090/S0002-9939-1983-0687656-3

Fibrations that are cofibrations
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by Juan M. Alonso PDF

Proc. Amer. Math. Soc. 87 (1983), 749-753 Request permission

Abstract:

We give necessary and sufficient conditions for a homotopy cartesian square to be homotopy cocartesian. Specializing, we obtain a necessary and sufficient condition for a fibration to be a cofibration. We apply the above to localization of spaces and to acyclic maps.

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