[EN] For any completely regular Hausdorff topological space X, an intermediate ring A(X) of continuous functions stands for any ring lying between C∗(X) and C(X). It is a rather recently established fact ...
[EN] Suppose F is a totally ordered field equipped with its order topology
and X a completely F-regular topological space. Suppose P is an ideal
of closed sets in X and X is locally-P. Let CP(X, F) = {f : X ! F | f
is ...
[EN] The main aim of this paper is to investigate a subring of the ring of continuous functions on a topological space X with values in a linearly ordered field F equipped with its order topology, namely the ring of ...
[EN] For a completely regular Hausdorff topological space X, let C(X, C) be the ring of complex-valued continuous functions on X, let C ∗ (X, C) be its subring of bounded functions, and let Σ(X, C) denote the collection ...
Acharyya, Sudip Kumar; Bharati, Rakesh; Deb Ray, Atasi(Universitat Politècnica de València, 2021-10-01)
[EN] c-realcompact spaces are introduced by Karamzadeh and Keshtkar in Quaest. Math. 41, no. 8 (2018), 1135-1167. We offer a characterization of these spaces X via c-stable family of closed sets in X by showing that X is ...