On h-fibrations

Year 2019, Volume: 48 Issue: 3, 732 - 742, 15.06.2019

Mehdi Tajik Behrooz Mashayekhy Ali Pakdaman

Abstract

In this paper, we study h-fibrations, a weak homotopical version of fibrations which have weak covering homotopy property. We present some homotopical analogue of the notions related to fibrations and characterize h-fibrations using them. Then we construct some new categories by h-fibrations and deduce some results in these categories such as the existence of products and coproducts.

Keywords

fiber homotopy, weak covering homotopy property, h-fibration, homotopically path lifting

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