ON SEPARATION PROPERTIES IN SOFT TOPOLOGICAL SPACES

Essam Hamouda

ON SEPARATION PROPERTIES IN SOFT TOPOLOGICAL SPACES

Abstract

In this paper, we explore separation axioms $T_{i},$ for $ i=0,1,2, $ within the framework of soft topological spaces, utilizing the concept of soft points as defined in [16]. We define $T_{0}$ and $ T_{1}$ in terms of the mapping $\tau_{\mathcal{F}}$ and establish that a soft space is $T_{1}$ iff the soft point is soft closed, assuming the soft topology is enriched. Furthermore, we provide a new characterization of $ T_{2}$ soft spaces, contributing to the understanding of separation properties in soft topology.

Keywords

Thanks

The author wishes to express their gratitude to the editors and referees for their valuable comments that contributed to the enhancement of the article.

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Details

Primary Language

English

Subjects

Topology

Journal Section

Research Article

Authors

Essam Hamouda ^*
0000-0001-9506-2172
Egypt

Publication Date

March 17, 2026

Submission Date

February 22, 2025

Acceptance Date

July 21, 2025

Published in Issue

Year 2026 Volume: 16 Number: 3

IZ

https://izlik.org/JA96TD84NG

Cite

RIS / Bibtex

APA

Hamouda, E. (2026). ON SEPARATION PROPERTIES IN SOFT TOPOLOGICAL SPACES. TWMS Journal of Applied and Engineering Mathematics, 16(3), 349-356. https://izlik.org/JA96TD84NG

AMA

1.Hamouda E. ON SEPARATION PROPERTIES IN SOFT TOPOLOGICAL SPACES. JAEM. 2026;16(3):349-356. https://izlik.org/JA96TD84NG

Chicago

Hamouda, Essam. 2026. “ON SEPARATION PROPERTIES IN SOFT TOPOLOGICAL SPACES”. TWMS Journal of Applied and Engineering Mathematics 16 (3): 349-56. https://izlik.org/JA96TD84NG.

EndNote

Hamouda E (March 1, 2026) ON SEPARATION PROPERTIES IN SOFT TOPOLOGICAL SPACES. TWMS Journal of Applied and Engineering Mathematics 16 3 349–356.

IEEE

[1]E. Hamouda, “ON SEPARATION PROPERTIES IN SOFT TOPOLOGICAL SPACES”, JAEM, vol. 16, no. 3, pp. 349–356, Mar. 2026, [Online]. Available: https://izlik.org/JA96TD84NG

ISNAD

Hamouda, Essam. “ON SEPARATION PROPERTIES IN SOFT TOPOLOGICAL SPACES”. TWMS Journal of Applied and Engineering Mathematics 16/3 (March 1, 2026): 349-356. https://izlik.org/JA96TD84NG.

JAMA

1.Hamouda E. ON SEPARATION PROPERTIES IN SOFT TOPOLOGICAL SPACES. JAEM. 2026;16:349–356.

MLA

Hamouda, Essam. “ON SEPARATION PROPERTIES IN SOFT TOPOLOGICAL SPACES”. TWMS Journal of Applied and Engineering Mathematics, vol. 16, no. 3, Mar. 2026, pp. 349-56, https://izlik.org/JA96TD84NG.

Vancouver

1.Essam Hamouda. ON SEPARATION PROPERTIES IN SOFT TOPOLOGICAL SPACES. JAEM [Internet]. 2026 Mar. 1;16(3):349-56. Available from: https://izlik.org/JA96TD84NG