doi:10.24996/ijs.2021.62.9.24

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Publication Date

Thu Sep 30 2021

Journal Name

Iraqi Journal Of Science

Volume

62

Issue Number

9

DOI

10.24996/ijs.2021.62.9.24

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CutPoints and Separations in Alpha- Connected Topological Spaces

cutpoints

separation of space

surrounding set

connected space

Balqees K.

Yousif Y.

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This paper introduces cutpoints and separations in -connected topological spaces, which are constructed by using the union of vertices set and edges set for a connected graph, and studies the relationships between them. Furthermore, it generalizes some new concepts.

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Publication Date

Sun Sep 01 2019

Journal Name

Journal Of Physics: Conference Series

Connected Fibrewise Topological Spaces

N F

Y Y

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Fibrewise topological spaces theory is a relatively new branch of mathematics, less than three decades old, arisen from algebraic topology. It is a highly useful tool and played a pivotal role in homotopy theory. Fibrewise topological spaces theory has a broad range of applications in many sorts of mathematical study such as Lie groups, differential geometry and dynamical systems theory. Moreover, one of the main objects, which is considered in fibrewise topological spaces theory is connectedness. In this regard, we of the present study introduce the concept of connected fibrewise topological spaces and study their main results.

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(2)

Publication Date

Thu Jul 01 2021

Journal Name

Journal Of Physics: Conference Series

Compatibility and Edge Spaces in Alpha - Topological Spaces

B K.

Y Y

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AbstractThis research presents the concepts of compatibility and edge spaces in <italic>α</italic>-topological spaces, and introduces the <italic>α</italic>-topology combinatorially induced by the <italic>α</italic>-topology. Furthermore, studies the relationship between the <italic>α</italic>-topology on <italic>V</italic> ∪ <italic>E</italic> and the relative <italic>α</italic>-topology on <italic>V</italic>.

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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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Publication Date

Sat Jan 01 2022

Journal Name

1st Samarra International Conference For Pure And Applied Sciences (sicps2021): Sicps2021

Feeble Hausdorff spaces in alpha-topological spaces using graph

feebly Hausdorff spaces

topologized graph.

Balqees K.

Yousif Y.

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Publication Date

Thu Apr 13 2017

Journal Name

Ibn Al-haitham Journal For Pure And Applied Sciences

On bg**- Connected Spaces

bg**-closed set

bg**-connected space

AfrahM.

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In this paper, we define the bg**-connected space and study the relation between this space and other kinds of connected spaces .Also we study some types of continuous functions and study the relation among (connected space, b-connected space, bg-connected space and bg**-connected space) under these types of continuous functions.

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Publication Date

Wed Jul 01 2020

Journal Name

Journal Of Physics: Conference Series

Soft Simply Connected Spaces And Soft Simply Paracompact Spaces

soft simply-connected

soft simply -continuous

soft simply limit point

soft simply Paracompact spaces.

S.

Y. Y.

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AbstractWe introduce in this paper some new concepts in soft topological spaces such as soft simply separated, soft simply disjoint, soft simply division, soft simply limit point and we define soft simply connected spaces, and we presented soft simply Paracompact spaces and studying some of its properties in soft topological spaces. In addition to introduce a new types of functions known as soft simply <italic>pu</italic>-continuous which are defined between two soft topological spaces.

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(1)

Publication Date

Sat Nov 28 2020

Journal Name

Iraqi Journal Of Science

On soft P_c-connected spaces

soft p_c-open set

soft p_c-separated sets

soft p_c-connected

soft p_c-disconnected

Qumri H.

Nehmat K.

Alias B.

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In this paper, we define the concept of soft -connected sets and soft -connected spaces by using the notion of soft -open sets in soft topological spaces. Several properties of these concepts are investigated.

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Publication Date

Sat Jan 01 2022

Journal Name

Int. J. Nonlinear Anal. Appl.

Fibrewise multi-topological spaces

fibrewise upper topological space

fibrewise lower topological space

fibrewise multi-topological spaces

fibrewise upper locally sliceable

M. H.

Y. Y.

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We define and study new ideas of fibrewise topological space on D namely fibrewise multi-topological space on D. We also submit the relevance of fibrewise closed and open topological space on D. Also fibrewise multi-locally sliceable and fibrewise multi-locally section able multi-topological space on D. Furthermore, we propose and prove a number of statements about these ideas.

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Publication Date

Sun Jan 01 2023

Journal Name

International Conference Of Computational Methods In Sciences And Engineering Iccmse 2021

Fibrewise totally topological spaces

Fiberwise topological space

Fiberwise totally topological spaces

fiberwise totally closed

and totally open topological space and fiberwise discrete.

Amira R.

Y. Y.

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(1)

Publication Date

Wed Feb 01 2017

Journal Name

International Journal Of Science And Research (ijsr)

Fibrewise Soft Topological Spaces

Soft set

soft continuous

fibrewise soft topological spaces

fibrewise closed soft topological spaces

fibrewise open soft topological spaces

fibrewise soft near compact spaces and fibrewise locally soft near compact space.

Y. Y.

M. A.

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In this work we define and study new concept of fibrewise topological spaces, namely fibrewise soft topological spaces, Also, we introduce the concepts of fibrewise closed soft topological spaces, fibrewise open soft topological spaces, fibrewise soft near compact spaces and fibrewise locally soft near compact spaces.

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