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March 2021 Retractions in homotopy theory for finite topological semigroups
Amin Saif, Hakeem A. Othman
Tbilisi Math. J. 14(1): 219-232 (March 2021). DOI: 10.32513/tmj/19322008117

Abstract

In this paper we study and develop the retracting property in homotopy theory for finite topological semigroups by introducing the notions of $DS-$retract sets and $US-$retract sets. We show that these sets are stronger forms of strong $S-$deformation retract sets. Furthermore, we study the uniqueness of retraction maps and some topological properties for these retract sets.

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Amin Saif. Hakeem A. Othman. "Retractions in homotopy theory for finite topological semigroups." Tbilisi Math. J. 14 (1) 219 - 232, March 2021. https://doi.org/10.32513/tmj/19322008117

Information

Received: 9 August 2020; Accepted: 11 February 2021; Published: March 2021
First available in Project Euclid: 1 April 2021

Digital Object Identifier: 10.32513/tmj/19322008117

Subjects:
Primary: 54C15
Secondary: 14F35, 22A15

Rights: Copyright © 2021 Tbilisi Centre for Mathematical Sciences

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Vol.14 • No. 1 • March 2021
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