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 EShomotopy extension property. Furthermore, the covering homotopy theorems for S-maps into S χ - fibrations and S χ -cofibrations are introduced and pullbacks for S χ -fibrations behave properly. MSC: Primary 54B25; 54F45; 54C56
Saif, A., & Kılıçman, A. (2016). On retracting properties and covering homotopy theorem for S-maps into S χ-cofibrations and S χ-fibrations. Journal of the Egyptian Mathematical Society, 24(4), 590-596. doi: 10.1016/j.joems.2016.03.001
MLA
Amin Saif; Adem Kılıçman. "On retracting properties and covering homotopy theorem for S-maps into S χ-cofibrations and S χ-fibrations", Journal of the Egyptian Mathematical Society, 24, 4, 2016, 590-596. doi: 10.1016/j.joems.2016.03.001
HARVARD
Saif, A., Kılıçman, A. (2016). 'On retracting properties and covering homotopy theorem for S-maps into S χ-cofibrations and S χ-fibrations', Journal of the Egyptian Mathematical Society, 24(4), pp. 590-596. doi: 10.1016/j.joems.2016.03.001
VANCOUVER
Saif, A., Kılıçman, A. On retracting properties and covering homotopy theorem for S-maps into S χ-cofibrations and S χ-fibrations. Journal of the Egyptian Mathematical Society, 2016; 24(4): 590-596. doi: 10.1016/j.joems.2016.03.001
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