Open AccessOn retracting properties and covering homotopy theorem for S-maps into Sχ-cofibrations and Sχ-fibrations
Author(s) -
Amin Saif,
Adem Kılıçman
Publication year - 2016
Publication title -
journal of the egyptian mathematical society
Language(s) - English
Resource type - Journals
eISSN - 2090-9128
pISSN - 1110-256X
DOI - 10.1016/j.joems.2016.03.001
Subject(s) - mathematics , homotopy , cofibration , extension (predicate logic) , whitehead theorem , n connected , pure mathematics , homotopy lifting property , homotopy category , regular homotopy , homotopy sphere , property (philosophy) , homotopy hypothesis , fibration , computer science , philosophy , epistemology , programming language
In this paper we generalize the retracting property in homotopy theory for topological semigroups by introducing the notions of deformation S-retraction with its weaker forms and ES-homotopy extension property. Furthermore, the covering homotopy theorems for S-maps into Sχ-fibrations and Sχ-cofibrations are introduced and pullbacks for Sχ-fibrations behave properly