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 ...
Mitra, Biswajit; Chowdhury, Debojyoti(Universitat Politècnica de València, 2021-04-01)
[EN] Let C∞ (X) denote the family of real-valued continuous functions which vanish at infinity in the sense that {x ∈ X : |f(x)| ≥ 1/n} is compact in X for all n ∈ N. It is not in general true that C∞ (X) is an ideal of ...