**Volume 10 (2021)**

**Volume 09 (2020)**

**Volume 08 (2019)**

**Volume 07 (2018)**

**Volume 06 (2017)**

**Volume 05 (2016)**

**Volume 04 (2015)**

**Volume 03 (2014)**

**Volume 02 (2013)**

**Volume 01 (2012)**

# Main Subjects = General topology
Number of Articles: 25

##### 1. Weak separation axioms via almost-ID-sets

*Volume 09, Issue 04 , Autumn 2020, , Pages 307-310*

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**Abstract **

The purpose of this paper is to introduce some new classes of almost ideal topological spaces by using the notion of almost-$I$-open sets and study some of their fundamental properties. We study some low separation axioms in almost ideal topological spaces.
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##### 2. On some properties of the hyperspace $\theta (X)$ and the study of the space $\downarrow\theta C(X)$

*Volume 09, Issue 03 , Summer 2020, , Pages 185-192*

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**Abstract **

The aim of the paper is to first investigate some properties of the hyperspace $\theta(X)$, and then in the next article it deals with some detailed study of a special type of subspace $\downarrow\theta C(X)$ of the space $\theta (X\times \mathbb I)$.
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##### 3. On weakly e*-open and weakly e*-closed Functions

*Volume 09, Issue 03 , Summer 2020, , Pages 201-211*

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**Abstract **

The aim of this paper is to introduce and study two new classes of functions called weakly $e^{*}$-open functions and weakly $e^{*}$-closed functions via the concept of $e^{*}$-open set defined by Ekici \cite{erd1}. The notions of weakly $e^{*}$-open and weakly $e^{*}$-closed functions ...
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##### 4. Paracompactness on supra topological spaces

*Volume 09, Issue 02 , Spring 2020, , Pages 121-127*

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**Abstract **

In this article, we present the concept of supra paracompact spaces and study its basic properties. We elucidate its relationship with supra compact spaces and prove that the property of being a supra paracompact space is weakly hereditary and topological properties. Also, we provide some examples to ...
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##### 5. Somewhat-connectedness and somewhat-continuity in the product space

*Volume 09, Issue 02 , Spring 2020, , Pages 139-148*

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**Abstract **

In this paper, the concept of somewhat-connected space will be introduced and characterized. Its connection with the other well-known concepts such as the classical connectedness, the $\omega_\theta$-connectedness, and the $\omega$-connectedness will be determined. Moreover, the concept of \textit{somewhat}-continuous ...
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##### 6. On the topological equivalence of some generalized metric spaces

*Volume 09, Issue 01 , Winter 2020, , Pages 67-74*

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**Abstract **

The aim of this paper is to establish the equivalence between the concepts of an $S$-metric space and a cone $S$-metric space using some topological approaches. We introduce a new notion of a $TVS$-cone $S$-metric space using some facts about ...
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##### 7. $\gamma_{_\mu}$-Lindel\"{o}f generalized topological spaces

*Volume 08, Issue 04 , Autumn 2019, , Pages 257-263*

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**Abstract **

In this paper we have introduced new types of sets termed as $\omega_{_{\gamma_{_\mu}}}$-open sets with the help of an operation and a generalized topology. We have also defined a notion of $\gamma_{_\mu}$-Lindel\"{o}f spaces and discussed some of its basic properties.
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##### 8. Some topological properties of fuzzy strong b-metric spaces

*Volume 08, Issue 02 , Spring 2019, , Pages 127-131*

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**Abstract **

In this study, we investigate topological properties of fuzzy strong b-metric spaces defined in [13]. Firstly, we prove Baire's theorem for these spaces. Then we define the product of two fuzzy strong b-metric spaces defined ...
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##### 9. On some forms of e*-irresoluteness

*Volume 08, Issue 01 , Winter 2019, , Pages 25-39*

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**Abstract **

The main goal of this paper is to introduce and study two new class of functions, called weakly $e^*$-irresolute functions and strongly $e^*$-irresolute functions, via the notion of $e^*$-open set defined by Ekici [7]. We obtain several fundamental properties and characterizations ...
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##### 10. On $\beta-$topological vector spaces

*Volume 08, Issue 01 , Winter 2019, , Pages 63-70*

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**Abstract **

We introduce and study a new class of spaces, namely $\beta-$topological vector spaces via $\beta-$open sets. The relationships among these spaces with some existing spaces are investigated. In addition, some important and useful characterizations of $\beta-$topological vector spaces are provided.
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##### 11. Algebraic distance in algebraic cone metric spaces and its properties

*Volume 07, Issue 04 , Autumn 2018, , Pages 273-280*

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**Abstract **

In this paper, we prove some properties of algebraic cone metric spaces and introduce the notion of algebraic distance in an algebraic cone metric space. As an application, we obtain some famous fixed point results in the framework of this algebraic distance.
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##### 12. Preclosure operator and its applications in general topology

*Volume 07, Issue 01 , Winter 2018, , Pages 1-9*

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**Abstract **

In this paper, we show that a pointwise symmetric pre-isotonic preclosure function is uniquely determined the pairs of sets it separates. We then show that when the preclosure function of the domain is pre-isotonic and the pre-closure function of the codomain is pre-isotonic and pointwise-pre-symmetric, functions ...
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##### 13. On characterizations of weakly $e$-irresolute functions

*Volume 07, Issue 01 , Winter 2018, , Pages 11-19*

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**Abstract **

The aim of this paper is to introduce and obtain some characterizations of weakly $e$-irresolute functions by means of $e$-open sets defined by Ekici [6]. Also, we look into further properties relationships between weak $e$-irresoluteness and separation axioms and completely $e$-closed graphs.
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##### 14. Fuzzy $\bigwedge_{e}$ Sets and Continuity in Fuzzy Topological spaces

*Volume 06, Issue 02 , Spring 2017, , Pages 125-134*

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**Abstract **

We introduce a new class of fuzzy open sets called fuzzy $\bigwedge_e$ sets which includes the class of fuzzy $e$-open sets. We also define a weaker form of fuzzy $\bigwedge_e$ sets termed as fuzzy locally $\bigwedge_e$ sets. By means of these new sets, we present the notions of fuzzy $\bigwedge_e$ ...
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##### 15. Connected and Hyperconnected Generalized Topological Spaces

*Volume 05, Issue 04 , Autumn 2016, , Pages 229-234*

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**Abstract **

A. Csaszar introduced and extensively studied the notion of generalized open sets. Following Csazar, we introduce a new notion hyperconnected. We study some specific properties about connected and hyperconnected in generalized topological spaces. Finally, we characterize the connected ...
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##### 16. Preorder Relators and Generalized Topologies

*Volume 05, Issue 04 , Autumn 2016, , Pages 271-277*

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**Abstract **

In this paper we investigate generalized topologies generated by a subbase of preorder relators and consider its application in the concept of the complement. We introduce the notion of principal generalized topologies obtained from the new type of open sets and study some of their important ...
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##### 17. On weakly eR-open functions

*Volume 05, Issue 03 , Summer 2016, , Pages 145-153*

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**Abstract **

The main goal of this paper is to introduce and study a new class of function via the notions of $e$-$\theta$-open sets and $e$-$\theta$-closure operator which are defined by Özkoç and Aslım [10] called weakly $eR$-open functions and $e$-$\theta$-open functions. Moreover, we investigate ...
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##### 18. Some topological operators via grills

*Volume 05, Issue 03 , Summer 2016, , Pages 199-204*

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**Abstract **

In this paper, we define and study two operators $\Phi^s$ and $\Psi^s$ with grill. Characterization and basic properties of these operators are obtained. Also, we generalize a grill topological spaces via topology $\tau^s$ induced from operators $\Phi^s$ and $\Psi^s$.
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##### 19. On Baer type criterion for $C$-dense, $C$-closed and quasi injectivity

*Volume 05, Issue 02 , Spring 2016, , Pages 105-109*

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**Abstract **

For the subclasses $\mathcal{M}_1$ and $\mathcal{M}_2$ of monomorphisms in a concrete category $\mathcal{C}$, if $\mathcal{M}_2\subseteq \mathcal{M}_1$, then $\mathcal{M}_1$-injectivity implies $\mathcal{M}_2$-injectivity. The Baer ...
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##### 20. Subcategories of topological algebras

*Volume 05, Issue 01 , Winter 2016, , Pages 15-28*

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**Abstract **

In addition to exploring constructions and properties of limits and colimits in categories of topological algebras, we study special subcategories of topological algebras and their properties. In particular, under certain conditions, reflective subcategories when paired with topological structures ...
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##### 21. F-Closedness in Bitopological Spaces

*Volume 05, Issue 01 , Winter 2016, , Pages 47-53*

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**Abstract **

The purpose of this paper is to introduce the concept of pairwise F-closedness in bitopological spaces. This space contains both of pairwise strongcompactness and pairwise S-closedness and contained in pairwise quasi H-closedness. The characteristics and relationships concerning this new class of spaces ...
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##### 22. Generalized superconnectedness

*Volume 04, Issue 04 , Autumn 2015, , Pages 267-273*

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**Abstract **

A. Csaszar introduced and extensively studied the notion of generalized open sets. Following Csazar, we introduce a new notion superconnected. The main purpose of this paper is to study generalized superconnected spaces. Various characterizations of generalized superconnected spaces and ...
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##### 23. On fuzzy soft connected topological spaces

*Volume 04, Issue 03 , Summer 2015, , Pages 229-240*

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**Abstract **

In this work, we introduce notion of connectedness on fuzzy soft topological spaces and present fundamentals properties. We also investigate effect to fuzzy soft connectedness. Moreover, $C_i$-connectedness which plays an important role in fuzzy topological space extend to fuzzy soft topological spaces.
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##### 24. s-Topological vector spaces

*Volume 04, Issue 02 , Spring 2015, , Pages 153-158*

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**Abstract **

In this paper, we have dened and studied a generalized form of topological vector spaces called s-topological vector spaces. s-topological vector spaces are dened by using semi-open sets and semi-continuity in the sense of Levine. Along with other results, it is proved that every s-topological ...
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##### 25. Soft regular generalized b-closed sets in soft topological spaces

*Volume 03, Issue 04 , Autumn 2014, , Pages 196-204*