On the topology of generalized quotients
Keywords:Generalized quotients, Semigroup acting on a set, Quotient topology, Hausdorff topology
Generalized quotients are defined as equivalence classes of pairs (x, f), where x is an element of a nonempty set X and f is an element of a commutative semigroup G acting on X. Topologies on X and G induce a natural topology on B(X,G), the space of generalized quotients. Separation properties of this topology are investigated.
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