$Ps$-normal and $Ps$-Tychonoff spaces

Sagarmoy Bag; Ram Chandra Manna; Sourav Kanti Patra

$Ps$-normal and $Ps$-Tychonoff spaces

General Topology 2019-07-23 v1

Authors: Sagarmoy Bag , Ram Chandra Manna , Sourav Kanti Patra

Abstract

A space $X$ is called $Ps$ -normal( $Ps$ -Tychonoff) space if there exists a normal(Tychonoff) space $Y$ and a bijection $f: X\mapsto Y$ such that $f\lvert_K:K\mapsto f(K)$ is homeomorphism for any pseudocompact subset $K$ of $X$ . We establish a few relations between $C$ -normal, $CC$ -normal, $L$ -normal, $C$ -Tychonoff, $CC$ -Tychonoff spaces with $Ps$ -normal and $Ps$ -Tychonoff spaces.

Keywords

general topology topological spaces

Cite

@article{arxiv.1907.08762,
  title  = {$Ps$-normal and $Ps$-Tychonoff spaces},
  author = {Sagarmoy Bag and Ram Chandra Manna and Sourav Kanti Patra},
  journal= {arXiv preprint arXiv:1907.08762},
  year   = {2019}
}

$Ps$-normal and $Ps$-Tychonoff spaces

Abstract

Keywords

Cite

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