Note on $p_1$-Lindelof spaces which are not contra second countable spaces in bitopology

Note on $p_1$-Lindelof spaces which are not contra second countable spaces in bitopology

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In this article rockfleece we show that a contra second countable bitopological space is a $p_1$-Lindelof space, but the converse is not true in general.We provide suitable example with the help of concepts of nest and interlocking from LOTS.The relation between pairwise regular spaces and $p_1$-normal spaces is studied.At the end, we propose some open questions which deus gorras may enrich various concepts related to Lindelofness in a bitopological space and other areas of mathematical ideas.