TY - JOUR
ID - 5388
TI - Characteristics of penta-open sets in penta topological spaces
JO - International Journal of Nonlinear Analysis and Applications
JA - IJNAA
LA - en
SN -
AU - Yaseen, Rana B
AU - Shihab, Ali A
AU - Alobaidi, Mizal H
AD - Department of mathematics, College of education for women, Tikrit University, Iraq.
AD - Department of Mathematics, College of Education for Pure Sciences, Tikrit University, Iraq.
AD - Department of Mathematics, College of Computer Science and Mathematics, Tikrit University, Iraq.
Y1 - 2021
PY - 2021
VL - 12
IS - 2
SP - 2463
EP - 2475
KW - Penta Topological Space
KW - $\mathcal{P}-$irresolute function
KW - $\mathcal{P}-$compactness
KW - locally $\mathcal{P}-$compact
KW - $\mathcal{P}-$Connectedness
KW - $\mathcal{P}-$separated
KW - strongly $\mathcal{P}-$connected
KW - $T_{mathcal{P}i}$-space
DO - 10.22075/ijnaa.2021.5388
N2 - The aim of the presented study is to introduce and verify two new spaces called $\mathcal{P}\_$ compactness andÂ $\mathcal{P}\_$connectedness using $\mathcal{P}\_$open sets and some of their properties. Moreover, we study the relationship between these spaces. Another purpose of this study is to examine a new form of separation axioms, by using $\mathcal{P}\_$open set namely $T_{\mathcal{P}i}$-spaces where $(i=0,1,2)$. The pertinence between them has been discussed and several features of these spaces are demonstrated as well.
UR - https://ijnaa.semnan.ac.ir/article_5388.html
L1 - https://ijnaa.semnan.ac.ir/article_5388_cde33a922034cb234fcd4dd96298812e.pdf
ER -