Fibrewise Soft Topological Spaces

Y. Y. Yousif; M. A. Hussain

doi:10.21275/ART2017545

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Publication Date

Wed Feb 01 2017

Journal Name

International Journal Of Science And Research (ijsr)

Volume

6

Issue Number

2

DOI

10.21275/ART2017545

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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. Yousif

M. A. Hussain

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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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Publication Date

Mon Jul 01 2019

Journal Name

Iop Conference Series: Materials Science And Engineering

Fuzzy orbit topological spaces

R N

S A

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AbstractThe concept of fuzzy orbit open sets under the mapping <italic>f</italic>:<italic>X</italic> → <italic>X</italic> in a fuzzy topological space (<italic>X</italic>,<italic>τ</italic>) was introduced by Malathi and Uma (2017). In this paper, we introduce some conditions on the mapping <italic>f</italic>, to obtain some properties of these sets. Then we employ these properties to show that the family of all fuzzy orbit open sets construct a new fuzzy topology, which we denoted by <italic>τ</italic> <italic>F0</italic> coarser ... Show More

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(1)

Publication Date

Thu Aug 15 2024

Journal Name

Journal Of Interdisciplinary Mathematics

Nano M. and nano IM. sets in nano topological spaces

Ng. open set

NM. open set

NIM. open set

Nano ideal

Topological space and NM. Kernel of a subset

Afraa R.

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studied, and its important properties and relationship with both closed and open Nano sets were investigated. The new Nano sets were linked to the concept of Nano ideal, the development of nano ideal mildly closed set and it has been studied its properties. In addition to the applied aspect of the research, a sample was taken from patients infected with viral hepatitis, and by examining the infected people and using closed and open (nano mildly. and nano ideal mildly) sets, the important symptoms that constitute the core of this dangerous examining the infected people and using closed and open (nano mildly. and nano ideal mildly) sets, the important symptoms that constitute the core of this dangerous disease.

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Publication Date

Wed Jul 01 2020

Journal Name

Journal Of Physics: Conference Series

Soft Closure Spaces

Shahad Thaar

Rasha Naser

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AbstractIn this paper, the concept of soft closure spaces is defined and studied its basic properties. We show that the concept soft closure spaces are a generalization to the concept of <italic>Č</italic>ech soft closure spaces introduced by Krishnaveni and Sekar. In addition, the concepts of subspaces and product spaces are extended to soft closure spaces and discussed some of their properties.

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(1)

Publication Date

Thu Jan 01 2015

Journal Name

Journal Of Advances In Mathematics

B-Closed Topological Spaces in Terms of Grills

-open set

-closure

-convergence

Grill

()-convergence and ()-adherence of a grill

-closed space.

Y. Y.

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The concept of -closedness, a kind of covering property for topological spaces, has already been studied with meticulous care from different angles and via different approaches. In this paper, we continue the said investigation in terms of a different concept viz. grills. The deliberations in the article include certain characterizations and a few necessary conditions for the -closedness of a space, the latter conditions are also shown to be equivalent to -closedness in a - almost regular space. All these and the associated discussions and results are done with grills as the prime supporting tool.

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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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(1)

Publication Date

Tue Mar 14 2017

Journal Name

Ibn Al-haitham Journal For Pure And Applied Sciences

On generalized b*-Closed Sets In Topological Spaces

gb* -closed set

gb -closed set

g-closed set.

Zinah

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In this paper, we introduce and study the concept of a new class of generalized closed set which is called generalized b*-closed set in topological spaces ( briefly .g b*-closed) we study also. some of its basic properties and investigate the relations between the associated topology.

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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

Sat May 01 2021

Journal Name

Journal Of Physics: Conference Series

g-Closed Soft Sets in Soft Closure Spaces

R N

S T

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AbstractThe aim of the present work is to define a new class of closed soft sets in soft closure spaces, namely, generalized closed soft sets (<italic>gc</italic>-soft sets, for short) which are defined over an initial universe set with a fixed set of parameters. This new class is a generalization to the class of closed soft sets. A necessary condition for a <italic>gc</italic>-soft set to be a soft closed is also obtainable. Moreover, the union and intersection of two <italic>gc</italic>-soft sets are discussed. Besides, some properties of <italic>gc</italic>-soft sets in the product soft closure spaces are also studied. Also, as an application of <jat></jat> ... Show More

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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

Thu May 04 2017

Journal Name

Ibn Al-haitham Journal For Pure And Applied Sciences

On Generalized Regular Continuous Functions In Topological Spaces

generalized regular continuous functions

regular continuous functions and regular generalized continuous functions.

S. I.

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In this paper we introduce a new type of functions called the generalized regular
continuous functions .These functions are weaker than regular continuous functions and
stronger than regular generalized continuous functions. Also, we study some
characterizations and basic properties of generalized regular continuous functions .Moreover
we study another types of generalized regular continuous functions and study the relation
among them

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