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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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
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 http://psasir.upm.edu.my/id/eprint/53426/ https://www.sciencedirect.com/science/article/pii/S1110256X16300050?via%3Dihub |
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| Institution: | Universiti Putra Malaysia |
| Language: | English |
| Summary: | 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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