Deb Ray, A.; Mondal, Atanu(Universitat Politècnica de València, 2019-10-01)
[EN] This paper explores the duality between ideals of the ring B1(X) of all real valued Baire one functions on a topological space X and typical families of zero sets, called ZB-filters, on X. As a natural outcome of this ...
[EN] In this paper we introduce the concept of ideal sequence covering map which is a generalization of sequence covering map, and investigate some of its properties. The present article contributes to the problem of ...
Boxer, Laurence(Universitat Politècnica de València, 2019-10-01)
[EN] We continue the work of [5] and [3], in which are considered papers in the literature that discuss fixed point assertions in digital topology. We discuss published assertions that are incorrect or incorrectly proven; ...
Vidal-Escobar, Ivon; Garcia-Ferreira, Salvador(Universitat Politècnica de València, 2019-10-01)
[EN] Given a discrete dynamical system (X, ƒ), we consider the function ωƒ-limit set from X to 2x asωƒ(x) = {y ∈ X : there exists a sequence of positive integers n1 < n2 < … such that limk→∞ ƒnk (x) = y},for each x ∈ X. ...
Ali Akbar, K.; Kannan, V.; Subramania Pillai, I.(Universitat Politècnica de València, 2019-10-01)
[EN] In this paper, we study the class of simple systems on R induced by homeomorphisms having finitely many non-ordinary points. We characterize the family of homeomorphisms on R having finitely many non-ordinary points ...