Mynard, Frédéric(Universitat Politècnica de València, 2023-04-05)
[EN]
We study concrete endofunctors of the category of convergence spaces and continuous maps that send initial maps to initial maps or final maps to final maps. The former phenomenon turns out to be fairly common while ...
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” ...