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Elmalı, Ceren Sultan

Profile Picture
Profile URL
https://hdl.handle.net/20.500.14901/1249
Name Variants
Elmali C.
Elmali C.S.
Elmali Ceren Sultan
Elmali Ceren
Job Title
Prof. Dr.
Email Address
ceren.elmali@erzurum.edu.tr
Main Affiliation
2.2. Matematik Bölümü
Status
Website
https://erzurum.edu.tr/personel/413/ceren-sultan-elmali#gsc.tab=0
ORCID ID
0000-0002-2553-4733
Scopus Author ID
25647255000
Turkish CoHE Profile ID
22151
Google Scholar ID
yzrZWSAAAAAJ&hl
WoS Researcher ID
AAG-4172-2019

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Now showing 1 - 9 of 9
  • Thumbnail Image
    Article
    Citation - Scopus: 2
    Fg-Morphisms and Fg-Extensions
    (Hacettepe University, 2014) Elmali, C.S.; Uǧur, T.
    We investigate the relations between Fan-Gottesman compactification and categories. We deal with maps having an extension to a homeomorphism between the Fan-Gottesman compactification of their domains and ranges. © 2014, Hacettepe University. All Rights reserved.
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    Article
    More on Rothberger Type Covering Properties and Novel Concepts for the Star-Menger Type Covering Properties in Bitopological Spaces
    (Prof. Dr. Mehmet Zeki Sarikaya, 2025) Açıkgöz, N.C.; Elmali, C.S.
    In this paper, we investigate some weaker forms of the Rothberger covering property in a bitopological setting. We investigate the relationships between the bitopological weakly Rothberger, bitopological almost Rothberger and the Rothberger covering property in classical topological spaces. We also consider them under certain type of mappings, subspaces and products. Later, we introduce new types of the star-Menger covering property in bitopological spaces. By giving counter-examples, we see that our new forms are different from some of the existing covering properties. We establish conditions for their equivalences and pose some of the related covering properties for future research. © 2025, Prof. Dr. Mehmet Zeki SARIKAYA. All rights reserved.
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    Article
    A Note on Nearly Alster Spaces and its Interrelations with Some Covering Properties
    (Univ Nis, Fac Sci Math, 2025) Acikgoz, Necati Can; Elmali, Ceren Sultan
    We introduce a new form of Alster property and investigate the relationships between other weaker forms of Alster spaces. We also scrutinize its relations with some selective covering properties. By giving counter-examples, we show the differences between nearly Alster property and those properties. We also consider the productively nearly Lindelof spaces. We present some topological properties of nearly Alster spaces and characterize nearly Alster property in terms of some selection principles.
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    Article
    Citation - WoS: 3
    Citation - Scopus: 4
    A Note on a Novel Type of Alster Covering Property in Bitopological Setting
    (TÜBİTAK Scientific & Technological Research Council Turkey, 2025) Acikgoz, Necati Can; Elmali, Ceren Sultan
    In this paper, we introduce a new type of the Alster covering property in bitopological spaces. We investigate its relations with other existing covering properties. By providing counterexamples, we demonstrate that our new property differs from the previously mentioned ones.Additionally, we establish conditions under which these properties are equivalent to the corresponding one. Furthermore, we explore the preservation of this new form of the bitopological Alster covering property. Finally, we analyze the productivity of bitopological nearly Lindel & ouml;fness and bitopological
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    Article
    Citation - Scopus: 1
    Cardinal Functions on Ditopological Texture Spaces
    (Zhengzhou University lifesciencej@zzu.edu.cn, 2014) Polat, K.; Elmali, C.S.; Uǧur, T.
    In this paper we define the concept of dicardinal function, and then (co)weight, (co)densification, (co)net weight, (co)pseudo character which are able to be used in classifying of ditopological texture spaces. It is natural to ask how there are relationships between the set S (P or Q) and dicardinal functions that we defined in ditopological texture spaces. Based on the question, our aim in the paper is to investigate dicardinal functions above for ditopological texture spaces. We obtain useful some results on bounds of S, the set P of all Q-sets and the set Q of all q-sets by choosing the subclasses satisfying axiom T0 or Co-T1 the class of all ditopological texture spaces. Furthermore, we show that (co)weight and (co)densification restrict each others.
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    Article
    Citation - WoS: 2
    Citation - Scopus: 3
    On Almost Set-Menger Spaces in Bitopological Context
    (Amer Inst Mathematical Sciences-AIMS, 2022) Acikgoz, Necati Can; Elmali, Ceren Sultan
    In this paper, we define the ij-almost-set Menger (ij-ASM) property in bitopological spaces. We put up some equivalences of ij-almost-set Menger bitopological spaces and investigate the behaviours of such spaces under some different types of mappings. We later take the preservation of these properties under union, subspaces, products into consideration and give some related examples. We finally introduce the concept of ij-almost P gamma-set in bitopological spaces.
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    Article
    Citation - WoS: 2
    Citation - Scopus: 3
    Nearly Menger Covering Property Via Bitopological Spaces
    (American Inst Mathematical Sciences-AIMS, 2024) Acikgoz, Necati Can; Elmali, Ceren Sultan
    This paper is a continuation and complement for previous works on selective covering properties. We introduce the novel concept of the nearly Menger property in a bitopological context. We demonstrate its interrelations with existing covering properties and construct certain equivalences between those. We also investigate various properties of nearly Menger bitopological spaces by considering it under subspaces, products, and certain type of mappings.
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    Article
    Almost Ultrafilters and Compactifications
    (Chiang Mai Univ, 2014) Elmali, Ceren Sultan
    If Xis a discrete topological space, the points of its Stone-Cech compactification beta X can be regarded as ultrafilters on X, and this fact is a useful tool in analysing the properties of beta X The purpose of this paper is to describe the compactification. of X of a uniform space in terms of the concept of almost ultrafilters. We describe the topological space X* and we investigate conditions under which S* will be a semigroup compactification if S is a semigroup which has a uniform structure. These conditions will always hold if S is a topological group, and in this case our compactification S* coincides with S-LUC.
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    Article
    Citation - WoS: 1
    Citation - Scopus: 1
    Fan-Gottesman Compactifications and Stone Space
    (Yildiz Technical University, 2019) Elmali, Ceren Sultan; Ugur, Tamer
    A Stone space is a zero dimensional, compact and T-0 - topological space. Also it is called Boolean space. There are a lot of methods for obtainnig compact space. Aleksandrov, Stone-Cech, Wallman and FanGottesman compactification are four of them. In this paper, it is discussed Fan-Gottesman compactification of regular space with normal base and necessary and sufficient conditions for Fan-Gottesman compactification of T-3 space to be a Stone space are given by considering relation between the Stone space and compact space.