Contents V.15 N.1 2024

  • ON HOMOTOPICAL PROPERTIES OF TOPOLOGICAL LEFT ALMOST SEMIGROUPS
    L.D.R. KOCINAC , H.A. OTHMAN (pp. 115-126)
    10.30546/2219-1259.15.1.2024.1264

    • Abstract.

    We give the notions of homotopy relation and path homotopy relation in topological left almost semigroups. We study some fundamental properties in topological left almost semigroups such as homotopy equivalence, contractibility and retraction. Next, we define a suitable topology on the set of path homotopy classes to become a left topological semigroup

    Keywords:

    Homotopy, retraction, semigroup, L-mapping, strong deformation L-retraction, path homotopy classes

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