Abstract
In this paper, we will obtain several results concerning the properties of pairwise C-closed spaces and to study the relations of pairwise C-closed spaces with some related pairwise topological properties like pairwise compactness, sequential spaces, pairwise quasi-k spaces and pairwise C-sequential spaces.
Highlights
The study of bitopological spaces was first initiated by J
We will obtain several results concerning the properties of pairwise C-closed spaces and to study the relations of pairwise C-closed spaces with some related pairwise topological properties like pairwise compactness, sequential spaces, pairwise quasi-k spaces and pairwise C-sequential spaces
We study the notion of pairwise C-closed spaces in bitopological spaces and their relation with other bitopological concepts. we will show that pairwise countably compact C- closed space has countable tightness and we will introduce characterization of pairwice sequential compact hausdorff spaces
Summary
The study of bitopological spaces was first initiated by J. Definition 2.4: [4] In a space (x, τ1, τ2), τ1 is said to be regular with respect to τ2 if, for each point x∈ X and each τ1- closed subset F s.t x∈/ F, there are τ1-open set U and τ2-open set V s.t x∈ U and F⊂ V and U ∩ V = Ø.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.