On generalized preopen sets

Journal Title: Математичні Студії - Year 2019, Vol 51, Issue 2

Abstract

Firstly in this paper, we find some conditions under which μ-preopen sets of a GTS or μ-space X may be equivalent to μ-open in X. Finally, we obtain some characterizations of generalized paracompactness of a GTS or μ-space X via μ-preopen sets in X.

Authors and Affiliations

A. Mukharjee, R. M. Roy

Keywords

Related Articles

On a Banach space of Laplace-Stieltjes integrals

Let Ω be class of positive unbounded functions Φ on (−∞,+∞) such that the derivative Φ′ is positive, continuously differentiable and increasing to +∞ on (−∞,+∞), φ be the inverse function to Φ′, and Ψ(x)=x−Φ(x)Φ′(x) be t...

Unique range sets for powers of meromorphic functions

The prime concern of the paper is to deal with the notion of the unique range set for powers of meromorphic functions. As a consequence, we show that the lower bound of URSM (URSE) and URSM-IM (URSE-IM) can be significan...

Weakly weighted-sharing and uniqueness of homogeneous differential polynomials

In the year 2006, S. Lin and W. Lin introduced the definition of weakly weighted-sharing of meromorphic functions which is between ``CM'' and ``IM''. In this paper, using the notion of weakly weighted-sharing, we study t...

The algebra of symmetric polynomials on (L∞)n

The paper deals with continuous symmetric (invariant under composition of the variable with any measure preserving bijection of [0,1]) complex-valued polynomials on the nth Cartesian power of the complex Banach space L∞...

Ramsey-product subsets of a group

Given an infinite group G and a number vector m→=(m1,…,mk)∈Zk of finite length k, we say that a subset A of G is a Ramsey m→-product set if every infinite subset X⊂G contains distinct elements x1,…,xk∈X such that xm1σ(1)...

Download PDF file
  • EP ID EP609520
  • DOI 10.15330/ms.51.2.195-199
  • Views 45
  • Downloads 0

How To Cite

A. Mukharjee, R. M. Roy (2019). On generalized preopen sets. Математичні Студії, 51(2), 195-199. https://europub.co.uk/articles/-A-609520