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23737

NANO  -OPEN SETS AND NANO  -CONTINUITY

Article

Last updated: 03 Jan 2025

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Abstract

This paper mainly concerns with generalizing nano near open sets by proposing new sort of sets called nano  -open
sets. These sets are stronger than any type of the other nano near open sets such as, nano regular open, nano -open,
nano semi-open, nano pre-open, nano -open and nano -open sets. The main properties and the relationships among of
these sets are studied. Moreover, various forms of nano  -open sets corresponding to di erent cases of approximations
are also derived. Finally, the notion of nano  -continuous functions is introduced and compared to the other types of
nano continuous functions.

DOI

10.21608/joems.2018.2714.1030

Keywords

Nano topology, nano  -open sets, nano  -continuity

Authors

First Name

M.

Last Name

Hosny

MiddleName

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Affiliation

Department of Mathematics, Faculty of Education, Ain Shams University, Cairo, Egypt

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Volume

26

Article Issue

2

Related Issue

4360

Issue Date

2018-04-01

Receive Date

2018-01-24

Publish Date

2018-04-01

Page Start

365

Page End

375

Print ISSN

1110-256X

Online ISSN

2090-9128

Link

https://joems.journals.ekb.eg/article_23737.html

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https://joems.journals.ekb.eg/service?article_code=23737

Order

13

Type

Original Article

Type Code

485

Publication Type

Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

https://joems.journals.ekb.eg/

MainTitle

NANO  -OPEN SETS AND NANO  -CONTINUITY

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Article

Created At

22 Jan 2023