Α - Open Sets and Α - Bicontinuity in Ditopological Texture Spaces

Dost, Şenol

doi:10.22436/jnsa.003.01.02

J. Nonlinear Sci. Appl.

2010

DOI: 10.22436/jnsa.003.01.02

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Α - Open Sets and Α - Bicontinuity in Ditopological Texture Spaces

Şenol Dost¹

Abstract: In this paper we generalize the notion of α-open and α-closed sets to ditopological texture spaces. We also introduce the concepts of αbicontinuous difunctions and discuss their properties in detail.

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On Micro-α-Open Sets and Micro-α- Continuous Functions in Micro Topological Spaces

Rasheed

Jasim

2020

J. Phys.: Conf. Ser.

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The principle point ofithis paper is to present new type of topologicalispaces are introduced by nano topology and so on Nano topology introduced by Thivagar using this nano topology we introduced micro topology and also introduce new type of open sets namely of Micro-α-open sets furthermore, a portion of their properties are researched. As application to Micro-α-open sets we introduce Micro-α-continuous functions also, get a portion of their essential properties

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On Micro-α-Open Sets and Micro-α- Continuous Functions in Micro Topological Spaces

Rasheed

Jasim

2020

J. Phys.: Conf. Ser.

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On θ-Continuity in Micro Topological Spaces

Jassim

Rasheed

Faris

2021

J. Phys.: Conf. Ser.

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Every year different types of topological spaces are introduced by many topologists. Nowadays available topologies are supra topology, ideal topology, bitopology, fuzzy topology, Fine topology, nano topology and so on. Nano topology introduced by Thivagar, using this nano topology we introduced micro topology and also study the concepts of θ - micro open sets and θ – micro continuous and some of their properties are investigated.

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Strong Forms of Generalized Closed Sets in Ditopological Texture Spaces

Ibrahim¹

2015

J. of Adv. Stud. in Topol.

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Α - Open Sets and Α - Bicontinuity in Ditopological Texture Spaces

Abstract: In this paper we generalize the notion of α-open and α-closed sets to ditopological texture spaces. We also introduce the concepts of αbicontinuous difunctions and discuss their properties in detail.

Cited by 3 publications

References 10 publications

On Micro-α-Open Sets and Micro-α- Continuous Functions in Micro Topological Spaces

On Micro-α-Open Sets and Micro-α- Continuous Functions in Micro Topological Spaces

On θ-Continuity in Micro Topological Spaces

Strong Forms of Generalized Closed Sets in Ditopological Texture Spaces

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