Retractions in homotopy theory for finite topological semigroups

A. Saif, H. A. Othman

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. 

Tbilisi Mathematical Journal, Vol. 14(1) (2021), pp. 219-232