Open AccessResults about P-Normality
Author(s) -
Lutfi Kalantan,
Mai Mansouri
Publication year - 2022
Publication title -
european journal of pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.245
H-Index - 5
ISSN - 1307-5543
DOI - 10.29020/nybg.ejpam.v15i2.4387
Subject(s) - mathematics , normality , paracompact space , bijection , subspace topology , homeomorphism (graph theory) , space (punctuation) , pure mathematics , topological space , combinatorics , quotient space (topology) , second countable space , extension (predicate logic) , topology (electrical circuits) , mathematical analysis , hausdorff space , quotient , statistics , computer science , programming language , linguistics , philosophy
A topological space X is called P-normal if there exist a normal space Y and a bijective function f : X −→ Y such that the restriction f|A: A −→ f(A) is a homeomorphism for each paracompact subspace A ⊆ X. In this paper we present some new results on P-normality. Westudy the invariance and inverse invariance of P-normality as a topological property. We also investigate the Alexandroff Duplicate of a P-normal space, the closed extension of a P-normal space, the discrete extension of a P-normal space and the Dowker topological space. Furthermore, we introduce a new property related to P-normality which we call strong P-normality.