Convergence semigroup categories


  • Gary Richardson University of Central Florida
  • H. Boustique University of Central Florida
  • Piotr Mikusinski University of Central Florida



Convergence space, Convergence semigroup, Ccontinuous action, Categorical properties


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  â†’ X is an injection.


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How to Cite

G. Richardson, H. Boustique, and P. Mikusinski, “Convergence semigroup categories”, Appl. Gen. Topol., vol. 11, no. 2, pp. 67–88, Sep. 2013.