Roy, Bishwambhar(Universitat Politècnica de València, 2011-10-01)
[EN] In this paper, a new class of sets called μ-generalized closed (briefly μg-closed) sets in generalized topological spaces are introduced and studied. The class of all μg-closed sets is strictly larger than the class ...
Jordan, Francis; Mynard, Frédéric(Universitat Politècnica de València, 2011-10-01)
[EN] We investigate when the space OX of open subsets of a topological space X endowed with the Scott topology is core compact. Such conditions turn out to be related to infraconsonance of X, which in turn is characterized ...
Fawakhreh, Anwar Jabor; Kiliçman, Adem(Universitat Politècnica de València, 2011-10-01)
[EN] In this paper we study the effect of mappings and some decompositions of continuity on weakly Lindelöf spaces and weakly regular-Lindelöf spaces. We show that some mappings preserve these topological properties. We ...
[EN] The paper is a continuation of our study on developing a new approach to (lattice-valued) topological structures, which relies on category theory and universal algebra, and which is called categorically-algebraic ...
Wang, Huoyung; Fu, Heman(Universitat Politècnica de València, 2011-10-01)
[EN] Bau-Sen Du introduced a notion of chaos which is stronger than Li-Yorke sensitivity. A TDS (X, f) is called chaotic if there is a positive e such that for any x and any nonempty open set V of X there is a point y in ...