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387508

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

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Last updated: 31 Dec 2024

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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 S χ -
fibrations and S χ -cofibrations are introduced and pullbacks for S χ -fibrations behave properly.
MSC: Primary 54B25; 54F45; 54C56

DOI

10.1016/j.joems.2016.03.001

Keywords

Homotopy, Topological semigroup, retraction, Fibration, Cofibration

Authors

First Name

Amin

Last Name

Saif

MiddleName

-

Affiliation

Department of Mathematics, Faculty of Applied Sciences, Taiz University, Taiz, Yemen

Email

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City

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Orcid

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First Name

Adem

Last Name

Kılıçman

MiddleName

-

Affiliation

Department of Mathematics, University Putra Malaysia, Serdang, Selangor 43400 UPM, Malaysia

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Orcid

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Volume

24

Article Issue

4

Related Issue

51066

Issue Date

2016-12-01

Receive Date

2024-10-22

Publish Date

2016-12-01

Page Start

590

Page End

596

Print ISSN

1110-256X

Online ISSN

2090-9128

Article File

JOEMS_Volume 24_Issue 4_Pages 590-596.pdf

PDF . 426.0kB

Link

https://joems.journals.ekb.eg/article_387508.html

Detail API

https://joems.journals.ekb.eg/service?article_code=387508

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387,508

Publication Type

Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

https://joems.journals.ekb.eg/

MainTitle

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

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Type

Article

Created At

21 Dec 2024