Mitra, Biswajit; Das, Sanjib(Universitat Politècnica de València, 2023-04-05)
[EN] One of the fundamental problem in rings of continuous function is to extract those spaces for which C(X) determines X, that is to investigate X and Y such that C(X) isomorphic with C(Y ) implies X homeomorphic with ...
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 ...
Afrooz, Susan; Azarpanah, Fariborz; Hasan Hajee, Nidaah(Universitat Politècnica de València, 2023-10-02)
[EN] Whenever the closure of an open set is also open, it is called e-open and if a space have a base consisting of e-open sets, it is called e-space. In this paper we first introduce and study e-spaces and e-continuous ...
Mandal, Dhananjoy; Singha, Achintya; Bag, Sagarmoy(Universitat Politècnica de València, 2024-04-02)
[EN] Consider the ring ℳ∘ ( X , μ ) of functions which are discontinuous on a set of measure zero which is introduced and studied extensively in [2]. In this paper, we have introduced a ring B1 ( X , μ ) of functions ...