[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 ...
Mukherjee, M. N.; Mandal, Dhananjoy(Editorial Universitat Politècnica de València, 2013-10-01)
The purpose of this paper is to introduce the notion of near metrizability for topological spaces, which is strictly weaker than the concept of metrizability. A number of characterizations of nearly metrizable spaces is ...
Mandal, Dhananjoy; Mukherjee, M. N.(Editorial Universitat Politècnica de València, 2014-04-07)
[EN] The present article deals with near metrizability, initiated in an earlier paper, with a new orientation and approach. The notions of nearly regular and uniform pseudo-bases are introduced and analogues of some results ...
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 ...