Note on p1-Lindelof Spaces Which are not Contra Second Countable Spaces in Bitopology

被引：1

作者：

Acharjee, Santanu ^{[1
]}

Papadopoulos, Kyriakos ^{[2
]}

Tripathy, Binod Chandra ^{[3
]}

机构：

[1] Debraj Roy Coll, Dept Math, Econ & Computat Rat Grp, Golaghat 785621, Assam, India

[2] Kuwait Univ, Dept Math, Khaldiya Campus, Safat 13060, Kuwait

[3] Tripura Univ, Dept Math, Agartala 799022, Tripura, India

来源：

BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA | 2020年 / 38卷 / 01期

关键词：

p(1)-Lindelofness; Contra second countable space; Nest; Interlocking;

D O I：

10.5269/bspm.v38i1.34701

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article we show that a contra second countable bitopological space is a p1-Lindelof space, but the converse part is not necessarily true in general. We provide suitable example with the help of concepts of nest and interlocking from other areas related to bitopology. The relation between pairwise regular spaces and p(1)-normal spaces has been investigated. Finally, we propose some open problems which may enrich various concepts related to Lindelofness in a bitopological space and other areas of mathematical ideas.

引用

页码：165 / 171

页数：7

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