Losert, Bernd; Richardson, Gary(Editorial Universitat Politècnica de València, 2014-10-01)
[EN] Properties of continuous actions on convergence spaces are investigated. The primary focus is the characterization as to when a continuous action on a convergence space can be continuously extended to an action on a ...
Boustique, H.; Mikusinski, Piotr; Richardson, Gary(Universitat Politècnica de València, 2009-10-01)
[EN] Continuous actions of a convergence semigroup are investigated in the category of convergence spaces. Invariance properties of actions as well as properties of a generalized quotient space are presented
Richardson, Gary; Mikusinski, Piotr; Boustique, H.(Universitat Politècnica de València, 2010-10-01)
[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” ...
Losert, Bernd; Richardson, Gary(Universitat Politècnica de València, 2023-10-02)
[EN] G-compactifications of continuous partial actions in the category of limit spaces are considered. In particular, sufficient conditions are given to ensure that (G, X, α) has a largest regular G-compactification.