title: On Cℵ-fibrations in bitopological semigroups.
abstract: We extend the path lifting property in homotopy theory for topological spaces to bitopological semigroups and we show and prove its role in the C(ℵ)-fibration property. We give and prove the relationship between the C(ℵ)-fibration property and an approximate fibration property. Furthermore, we study the pullback maps for C(ℵ)-fibrations.
authors.affiliation: Department of Mathematical Sciences, Hodeidah University, Hodeidah, Yemen.
authors.forename: Suliman
authors.initials: S
authors.lastname: Dawood
authors.affiliation: Department of Mathematics and Institute for Mathematical Research, University Putra Malaysia (UPM), 43400 Serdang, Selangor, Malaysia.
authors.forename: Adem
authors.initials: A
authors.lastname: Kılıçman
mesh_terms: D000465:Algorithms; D008962:Models, Theoretical