Homotopy extension property in homotopy theory for topological semigroups.

The purpose of this paper is to extend the concept of homotopy extension property in homotopy theory for topological spaces to its analogical structure in homotopy theory for topological semigroups. In this extension, we also give some results concerning on absolutely retract and its properties.

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Bibliographic Details
Main Authors: Kilicman, Adem, Saif, Amin
Format: Article
Language:English
English
Published: Hindawi Publishing Corporation 2012
Online Access:http://psasir.upm.edu.my/id/eprint/25234/1/Homotopy%20extension%20property%20in%20homotopy%20theory%20for%20topological%20semigroups.pdf
http://psasir.upm.edu.my/id/eprint/25234/
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Summary:The purpose of this paper is to extend the concept of homotopy extension property in homotopy theory for topological spaces to its analogical structure in homotopy theory for topological semigroups. In this extension, we also give some results concerning on absolutely retract and its properties.