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PC-Spaces
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Abstract<p>The present study concentrates on the new generalizations of the Jordan curve theorem. In order to achieve our goal, new spaces namely PC-space and strong PC-space are defined and studied their properties. One of the main concepts that use to define the related classes of spaces is paracompact space. In addition, the property of being PC-space and strong PC-space is preserved by defining a new type of function so called para-perfect function.</p>
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Publication Date
Fri Sep 22 2017
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
The product of para - compact spaces
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The product  of   rn-paracompact and   rn-strongly  paracompact are briefly disc. ussed.

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Publication Date
Tue Oct 01 2024
Journal Name
Association Of Arab Universities Journal Of Engineering Sciences
Interactive Design of Pediatric Hospital spaces
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Publication Date
Sat May 01 2021
Journal Name
Journal Of Physics: Conference Series
Cech Fuzzy Soft Bi-Closure Spaces
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Abstract<p>In 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, L<sub>1</sub>, L<sub>2</sub>, S</italic>) we can obtain two types of associative fuzzy soft topological spaces, the first is a fuzzy soft bitopological space (<italic>U, τ<sub>L<sub>1</sub> </sub>, τ<sub>L<sub>2</sub> </sub>, S</italic>) and the second is a fuzzy soft topological space (<italic>U, τ<sub>L<sub>1</sub> </sub> </italic></p> ... 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
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Abstract<p>A 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.</p>
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Publication Date
Thu May 28 2020
Journal Name
Iraqi Journal Of Science
Invertible Operators on Soft Normed Spaces
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Despite ample research on soft linear spaces, there are many other concepts that can be studied. We introduced in this paper several new concepts related to the soft operators, such as the invertible operator.  We investigated some properties of this kind of operators and defined the spectrum of soft linear operator along with a number of concepts related with this definition; the concepts of eigenvalue, eigenvector, eigenspace are defined. Finally the spectrum of the soft linear operator was divided into three disjoint parts.

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Publication Date
Wed Nov 30 2022
Journal Name
Iraqi Journal Of Science
New Generalizations of Soft LC-Spaces
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      In this article, we introduce a new type of soft spaces namely, soft  spaces as   a generalization of soft paces. Also, we study the weak forms of soft  spaces, namely, soft  spaces, soft  spaces, soft  space, and soft  spaces. The characterizations and fundamental properties related to these types of soft spaces and the relationships among them are also discussed.

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Publication Date
Fri Mar 01 2024
Journal Name
Baghdad Science Journal
Best approximation in b-modular spaces
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In this paper, some basic notions and facts in the b-modular space similar to those in the modular spaces as a type of generalization are given.  For example, concepts of convergence, best approximate, uniformly convexity etc. And then, two results about relation between semi compactness and approximation are proved which are used to prove a theorem on the existence of best approximation for a semi-compact subset of b-modular space.

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Publication Date
Thu Sep 30 2021
Journal Name
Iraqi Journal Of Science
On Invariant Approximations in Modular Spaces
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     This article is devoted to presenting results on invariant approximations over a non-star-shsped weakly compact subset of a complete modular space by introduced a new notion called S-star-shaped with center f:  if   be a mapping and , . Then the existence of common invariant best approximation is proved for Banach operator pair of mappings by combined the hypotheses with Opial’s condition or demi-closeness condition

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Publication Date
Thu Nov 30 2023
Journal Name
Iraqi Journal Of Science
Nb-Compact and Nb-Lindelöf Spaces
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     In this work, we present new types of compact and Lindelöf spaces and  some facts and results related to them. There are also types of compact and Lindelöf functions and the relationship between them has been investigated. Further, we have present some properties and results related to them.

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Publication Date
Sun Nov 17 2019
Journal Name
Journal Of Interdisciplinary Mathematics
Soft 𝒦(<i>sc</i>)-spaces
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