Convergence semigroup categories
Gary D. Richardson, H. Boustique, Piotr Mikusiński · Applied General Topology · 2013
Properties of the category consisting of all objects of the form (X, S, λ) are investigated, where X is a convergence space, S is a commutative semigroup, and λ: X × S → X is a continuous action. A “generalized quotient” of each object is defined without making the usual assumption that for each fixed g ∈ S, λ(., g) : X → X is an injection.