Fibrewise Pairwise Bi-Topological Spaces

Y. Y. Yousif; L. A. Hussain

doi:10.22401/SIC.I.21

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Publication Date

Wed Nov 01 2017

Journal Name

Al-nahrain Journal Of Science (anjs)

Volume

00

Issue Number

1

DOI

10.22401/SIC.I.21

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Fibrewise Pairwise Bi-Topological Spaces

Fibrewise bitopological spaces

Fibrewise pairwise - spaces

fibrewise pairwise -Hausdorff spaces

Fibrewise pairwise -regular spaces and fibrewise pairwise -normal spaces.

Y. Y. Yousif

L. A. Hussain

...Show More Authors

The main idea of this research is to consider fibrewise pairwise versions of the more important separation axioms of ordinary bitopology named fibrewise pairwise - spaces, fibrewise pairwise - spaces, fibrewise pairwise - spaces, fibrewise pairwise -Hausdorff spaces, fibrewise pairwise functionally -Hausdorff spaces, fibrewise pairwise -regular spaces, fibrewise pairwise completely -regular spaces, fibrewise pairwise -normal spaces and fibrewise pairwise functionally -normal spaces. In addition we offer some results concerning it.

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Publication Date

Sat Dec 24 2022

Journal Name

Wasit Journal For Pure Science

β*-Regular supra topological spaces

supra closed

supra g-open

supra semi .open

supra closure and supra interior

Ehab A.

Afraa R.

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Form the series of generalization of the topic of supra topology is the generalization of separation axioms . In this paper we have been introduced (S * - SS *) regular spaces . Most of the properties of both spaces have been investigated and reinforced with examples . In the last part we presented the notations of supra *- -space ( =0,1) and we studied their relationship with (S * - SS *) regular spaces.

Publication Date

Sun Jan 01 2023

Journal Name

Journal Of Discrete Mathematical Sciences & Cryptography

On β*-supra topological spaces

Supra space

Supra open

Supra g- open set

Supra continuous maps

Mildly closed set

Ehab A.

A. R.

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In this paper, a new type of supra closed sets is introduced which we called supra β*-closed sets in a supra topological space. A new set of separation axioms is defined, and its many properties are examined. The relationships between supra β*-Ti –spaces (i = 0, 1, 2) are studied and shown with instances. Additionally, new varieties of supra β*-continuous maps have been taken into consideration based on the supra β*-open sets theory.

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Publication Date

Sat May 05 2018

Journal Name

College Of Education For Pure Science Ibn-a L-haitham, University Of Baghdad

On Some New Topological Spaces

Suaad G

Narjis Abduljabbar

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Publication Date

Fri Jan 01 2021

Journal Name

Int. J. Nonlinear Anal. Appl.

Feeble regular and feeble normal spaces in α-topological spaces using graph

α-feebly regular

α-quasiregular

α-feebly normal

Balqees K.

Yousif Y.

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This paper introduces some properties of separation axioms called α -feeble regular and α -feeble normal spaces (which are weaker than the usual axioms) by using elements of graph which are the essential parts of our α -topological spaces that we study them. Also, it presents some dependent concepts and studies their properties and some relationships between them.

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(1)

Publication Date

Sat May 01 2021

Journal Name

Journal Of Physics: Conference Series

Cech Fuzzy Soft Bi-Closure Spaces

M T

R N

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AbstractIn the present study, Čech fuzzy soft bi-closure spaces (Čfs bi-csp’s) are defined. The basic properties of Čfs bi-csp’s are studied such as we show from each Čfs bi-csp’s (<italic>u, L1, L2, S</italic>) we can obtain two types of associative fuzzy soft topological spaces, the first is a fuzzy soft bitopological space (<italic>U, τL1 , τL2 , S</italic>) and the second is a fuzzy soft topological space (<italic>U, τL1 </italic> ... Show More

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(1)

Publication Date

Thu Apr 03 2025

Journal Name

Aip Conference Proceedings

Fibrewise locally minimal and maximal sliceable and fibrewise locally minimal and maximal sectionable topology

Fibrewise locally maximal-sliceable

fibrewise locally minimal-sliceable

fibrewise locally maximal sectionable and fibrewise locally minimal sectionable.

Abeer K.

Yousif Y.

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Abstract. The minimal or maximal topological space is one of the topological spaces that we will employ in fibrewise locally sliceable and fibrewise locally sectionable. Now in this research I relied on some definitions specific to the research fibrewise maximal and minimal topological spaces. We will define a fibrewise locally minimal sliceable, fibrewise locally maximal sliceable, fibrewise locally minimal sectionable and fibrewise locally maximal sectionable, and I also clarified some examples of them and used them in characteristics by also clarifying them in diagrams.

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Publication Date

Mon Dec 18 2023

Journal Name

Journal Of Iraqi Al-khwarizmi

Fibrewise Multi-Separation Axioms

F.W.U.T_∘space

F.W.L.T_∘ space

F.W.M.T_∘ spaces

F.W.U.R_∘ space

F.W.L.R_∘ space

F.W.M.R_∘ spaces

F.W.U. Hausdorff spaces F.W.L. Hausdorff spaces

F.W.M. Hausdorff

Y. Y.

M. H.

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The aim of the research is to apply fibrewise multi-emisssions of the paramount separation axioms of normally topology namely fibrewise multi-T0. spaces, fibrewise multi-T1 spaces, fibrewise multi-R0 spaces, fibrewise multi-Hausdorff spaces, fibrewise multi-functionally Hausdorff spaces, fibrewise multi-regular spaces, fibrewise multi-completely regular spaces, fibrewise multi-normal spaces and fibrewise multi-functionally normal spaces. Also we give many score regarding it.

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Publication Date

Sat May 01 2021

Journal Name

Journal Of Physics: Conference Series

New Normality on Generalized Topological Spaces

Suaad G

Mohanad N

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AbstractA space X is named a πp – normal if for each closed set F and each π – closed set F’ in X with F ∩ F’ = ∅, there are p – open sets U and V of X with U ∩ V = ∅ whereas F ⊆ U and F’ ⊆ V. Our work studies and discusses a new kind of normality in generalized topological spaces. We define ϑπp – normal, ϑ–mildly normal, & ϑ–almost normal, ϑp– normal, & ϑ–mildly p–normal, & ϑ–almost p-normal and ϑπ-normal space, and we discuss some of their properties.

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(2)

Publication Date

Sun Jan 01 2023

Journal Name

International Conference Of Computational Methods In Sciences And Engineering Iccmse 2021

On Čech fuzzy soft bi-clouser spaces

Mohamad Th.

Rasha N.

...Show More Authors

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Publication Date

Sat May 01 2021

Journal Name

Journal Of Physics: Conference Series

Paths and Cycles in Alpha Topological Spaces

Balqees K

Yousif Y

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AbstractThis paper presents the concepts of prepaths, paths, and cycles in α-topological spaces and studies them in orderable spaces. Also, many relationships are proved with their equivalences using some properties in topological spaces like compactness and locally connectedness.

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