Hacettepe Journal of Mathematics and Statistics, ( ISI ), Year (2018-1)

Title : ( On h-Fibration )

Authors: mmm tj , Behrooz Mashayekhy Fard , َAli Pakdaman ,
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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.