On retracting properties and covering homotopy theorem for S-maps into Sχ-cofibrations and Sχ-fibrations | Zendy

Amin Saif | Zendy; Adem Kılıçman | Zendy

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On 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

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