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
- EP ID EP302737
- DOI 10.15330/ms.48.1.108-112
- Views 51
- Downloads 0
On generalized preopen sets
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-spa...
On mathematical realism and applicability of hyperreals
We argue that Robinson’s hyperreals have just as much claim to applicability as the garden variety reals. In a recent text, Easwaran and Towsner (ET) analyze the applicability of mathematical techniques in the sciences,...
Weakened problem on extremal decomposition of the complex plane
The paper deals with the problem of the maximum of the functional rγ(B0,0)∏k=1nr(Bk,ak), where B0,..., Bn, n⩾2, are pairwise disjoint domains in C¯¯¯¯, a0=0, |ak|=1, k∈{1,…,n} and γ∈(0,n] (r(B,a) is the inner radius of t...
On uniqueness of entropy solutions for nonlinear elliptic degenerate anisotropic equations
In the present paper we deal with the Dirichlet problem for a class of degenerate anisotropic elliptic second-order equations with L1-right-hand sides in a bounded domain of Rn (n⩾2). This class is described by the prese...
On ε-Friedrichs inequalities and its application
Let n∈N be a fixed number, Ω be a bounded domain in Rn, L2(Ω), L∞(Ω) be the Lebesgue spaces, H1(Ω) and H10(Ω) be the Sobolev spaces, Πℓ(α):=⊗k=1n(αk;αk+ℓ),α=(α1,…,αn)∈Rn,ℓ>0. There are proved the following assertions abo...