On bonding of some bitopological notions

Journal Title: Математичні Студії - Year 2017, Vol 48, Issue 1

Abstract

In this paper, we study two strong forms of separations axioms on bitopological spaces and we observe that the results on such axioms are odd compared to prevailing results of bitopological spaces or topological spaces, e.g. we see that Y⊂X need not be (Pi)closed for any i∈{1,2} to be the relative bitopological space (Y,P1Y,P2Y) strongly pairwise normal under some conditions including the bitopological space (X,P1,P2) to be strongly pairwise normal.

Authors and Affiliations

A. Mukharjee

Keywords

Related Articles

Relative growth of Dirichlet series

Let F and G be entire functions given by Dirichlet series with exponents increasing to +∞. In the term of generalized order it is introduced a concept of their relative growth and its connection with the growth of F and...

Cauchy, infinitesimals and ghosts of departed quantifiers

rocedures relying on infinitesimals in Leibniz, Euler and Cauchy have been interpreted in both a Weierstrassian and Robinson’s frameworks. The latter provides closer proxies for the procedures of the classical masters. T...

On removable singularities of mappings in uniform spaces

The paper is devoted to the study of mappings of two metric spaces that distort the modulus of families of paths by analogy with the Poletskii inequality.We deal with the situation when the mapping acts in a space that a...

Leibniz’s well-founded fictions and their interpetations

Leibniz used the term fiction in conjunction with infinitesimals. What kind of fictions they were exactly is a subject of scholarly dispute. The position of Bos and Mancosu contrasts with that of Ishiguro and Arthur. Lei...

Rings with the Kazimirsky condition and rings with projective socle

We construct the theory of diagonalizability for matrices over Bezout rings of stable range 1 with the Kazimirsky condition. It is shown that a ring of stable range 1 with the right (left) Kazimirsky condition is an elem...

Download PDF file
  • EP ID EP302737
  • DOI 10.15330/ms.48.1.108-112
  • Views 42
  • Downloads 0

How To Cite

A. Mukharjee (2017). On bonding of some bitopological notions. Математичні Студії, 48(1), 108-112. https://europub.co.uk/articles/-A-302737