Convergence semigroup categories

[EN] 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.Richardson, G.; Mikusinski, P.; Boustique, H. (2010). Convergence semigroup categories. Applied General Topology. 11(2):67-88. doi:10.4995/agt.2010.1709678811