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


Citation

Saif, Amin and Kilicman, Adem (2016) On retracting properties and covering homotopy theorem for S-maps into Sχ-cofibrations and Sχ-fibrations. Journal of the Egyptian Mathematical Society, 24 (4). pp. 590-596. ISSN 1110-256X; ESSN: 2090-9128

Abstract

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 Sχ - fibrations and Sχ -cofibrations are introduced and pullbacks for Sχ -fibrations behave properly.


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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
DOI Number: https://doi.org/10.1016/j.joems.2016.03.001
Publisher: SpringerOpen
Keywords: Homotopy; Topological semigroup; Retraction; Fibration; Cofibration
Depositing User: Ms. Ainur Aqidah Hamzah
Date Deposited: 18 Mar 2022 06:23
Last Modified: 18 Mar 2022 06:23
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1016/j.joems.2016.03.001
URI: http://psasir.upm.edu.my/id/eprint/53426
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