ON LOOP FUNCTIONS IN THEORY OF TOPOLOGICAL LA-SEMIGROUPS

Hakeem A. OTHMAN

Abstract


In theory of topological LA-semigroups,
we introduce the concepts of LA-loop functions for LA-lifting
functions in theory of LA-fibrations. We prove that the
LA-lifting function and LA-loop function for any LA-fibration are
not necessarily unique. We also restrict the LA-loop function on
any idempotent point in any LA-fiber space to get another LA-map
which is called a LA-loop restriction.


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