Generalized $\delta-s\bigwedge _{ij}$-sets in bitopological spaces

F.H.   Khedr; O.R. Sayed

doi:10.26637/mjm0903/008

Abstract

The concepts of $ij-\delta$-semi closed and $ij-\delta$-semi open sets in bitopological spaces are introduced and studied. Also, the notions of {$\delta -s\bigwedge _{ij} -$}sets and {$g\delta -s\bigwedge _{ij} -$}sets are investigated. Furthermore , a new closure operator called $Cl_{\delta }^{s\bigwedge _{ij} } $ on the bitopological space $(X,\tau _{1},\tau _{2})$ is defined and associated topology $\tau _{\delta }^{s\bigwedge _{ij} }$ is given.

Keywords:

Bitopological space, ${ij}-\delta$-semi open set, $\delta -s\bigwedge _{ij}$-set, $g\delta-s\bigwedge _{ij}$-set

Mathematics Subject Classification:

54A10 , 54C05, 54E55

Authors Imprint References Funding Related Articles Downloads

F.H. Khedr Department of Mathematics, Faculty of Science, Assiut University Assiut, 71516, Egypt.
O.R. Sayed Department of Mathematics, Faculty of Science, Assiut University Assiut, 71516, Egypt. https://orcid.org/0000-0001-9162-1862

Pages: 141-147
Date Published: 01-07-2021
Vol. 9 No. 03 (2021): Malaya Journal of Matematik (MJM)

G. K., BANERJEE, On pairwise almost strongly $theta$ - continuous mappings, Bull. Cal. Math. Soc., 74(1987), 195-206.

S. Bose, Semi open sets, semi continuity and semiopen mappings in bitopological spaces, Bull. Cal. Math. Soc., 73(1981), 237-246.

M. Caldas, E. Hatir And S. JAfARI, On Generalized $lambda_delta^s-$ sets and related topics topology, J. Koream Math. Soc., 74(4)(2010), No. 4, 735-742.

J. C. Kelly, Bitopological spaces, Proc. London Math. Soc., 3(13)(1963), 71-89.

F. H. KHEDR, Properties of $i j-delta-$ open sets, Fasciculi Mathematici, 52(2014), 65-81.

F. H. Khedr, A. M. Alshibani And T. Noiri, On $delta$-continuity in bitopological spaces, J. Egypt. Math. Soc., 5( 1 )( 1 9 9 7 ), 5 7--6 2.