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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
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 |
| _version_ | 1825930850722643968 |
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| author | Saif, Amin Kilicman, Adem |
| author_facet | Saif, Amin Kilicman, Adem |
| author_sort | Saif, Amin |
| collection | UPM |
| description | 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. |
| first_indexed | 2024-03-06T09:17:50Z |
| format | Article |
| id | upm.eprints-53426 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T09:17:50Z |
| publishDate | 2016 |
| publisher | SpringerOpen |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | Saif, Amin Kilicman, Adem On retracting properties and covering homotopy theorem for S-maps into Sχ-cofibrations and Sχ-fibrations |
| title | 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_short | 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 |
| 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 |
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