On retracting properties and covering homotopy theorem for S-maps into Sχ-cofibrations and Sχ-fibrations
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 -cofibr...
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2016
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| Online Access: | http://psasir.upm.edu.my/id/eprint/53426/1/On%20retracting%20properties%20and%20covering%20homotopy%20theorem%20for%20S-maps%20into%20S%CF%87-cofibrations%20and%20S%CF%87-fibrations.pdf http://psasir.upm.edu.my/id/eprint/53426/ https://www.sciencedirect.com/science/article/pii/S1110256X16300050?via%3Dihub |
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my.upm.eprints.534262022-03-18T06:23:34Z http://psasir.upm.edu.my/id/eprint/53426/ On retracting properties and covering homotopy theorem for S-maps into Sχ-cofibrations and Sχ-fibrations Saif, Amin Kilicman, Adem 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. SpringerOpen 2016-10 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/53426/1/On%20retracting%20properties%20and%20covering%20homotopy%20theorem%20for%20S-maps%20into%20S%CF%87-cofibrations%20and%20S%CF%87-fibrations.pdf 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 https://www.sciencedirect.com/science/article/pii/S1110256X16300050?via%3Dihub 10.1016/j.joems.2016.03.001 |
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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. |
| format |
Article |
| author |
Saif, Amin Kilicman, Adem |
| spellingShingle |
Saif, Amin Kilicman, Adem On retracting properties and covering homotopy theorem for S-maps into Sχ-cofibrations and Sχ-fibrations |
| author_facet |
Saif, Amin Kilicman, Adem |
| author_sort |
Saif, Amin |
| title |
On retracting properties and covering homotopy theorem for S-maps into Sχ-cofibrations and Sχ-fibrations |
| title_short |
On retracting properties and covering homotopy theorem for S-maps into Sχ-cofibrations and Sχ-fibrations |
| title_full |
On retracting properties and covering homotopy theorem for S-maps into Sχ-cofibrations and Sχ-fibrations |
| title_fullStr |
On retracting properties and covering homotopy theorem for S-maps into Sχ-cofibrations and Sχ-fibrations |
| title_full_unstemmed |
On retracting properties and covering homotopy theorem for S-maps into Sχ-cofibrations and Sχ-fibrations |
| title_sort |
on retracting properties and covering homotopy theorem for s-maps into sχ-cofibrations and sχ-fibrations |
| publisher |
SpringerOpen |
| publishDate |
2016 |
| url |
http://psasir.upm.edu.my/id/eprint/53426/1/On%20retracting%20properties%20and%20covering%20homotopy%20theorem%20for%20S-maps%20into%20S%CF%87-cofibrations%20and%20S%CF%87-fibrations.pdf http://psasir.upm.edu.my/id/eprint/53426/ https://www.sciencedirect.com/science/article/pii/S1110256X16300050?via%3Dihub |
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