Another form of supra ordered separation axioms

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Al shami t.m.; Al shumrani m.; ozel c.

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Paper Information

Journal: JOURNAL OF MATHEMATICAL EXTENSION Year:2021 | Volume:15 | Issue:1 Page(s): 105-125

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Title

Another form of supra ordered separation axioms

Author(s)

Al shami t.m. | Al shumrani m. | ozel c. | Issue Writer Certificate

Keywords

Supra limit points

STci-ordered spaces

S?-homeomorphism maps

Ordered product space and supra topological ordered spaces

Abstract

In this work, we present and study new ordered separation axioms, namely supra Tci-ordered spaces (briey, STci-ordered spaces), for i = 0,12, 1,112, 2. We illustrate the relationships among these ordered spaces with the help of examplesand we point out under what conditions the initiated ordered separationaxioms are hereditary properties. Also, we derive some results which connect someof STci-ordered spaces with some topological notions such as supra limit points andsupra disconnected spaces, and with some algebra notions such as largest and smallestelements. Furthermore, we investigate the image of theses ordered spaces underS?-homeomorphism maps. Finally, we verify that the nite ordered product of STci-ordered spaces is STci-ordered, for i = 0,12, 1,112.

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APA: Copy

Al shami, t.m., Al shumrani, m., & ozel, c.. (2021). Another form of supra ordered separation axioms. JOURNAL OF MATHEMATICAL EXTENSION, 15(1), 105-125. SID. https://sid.ir/paper/1065128/en

Vancouver: Copy

Al shami t.m., Al shumrani m., ozel c.. Another form of supra ordered separation axioms. JOURNAL OF MATHEMATICAL EXTENSION[Internet]. 2021;15(1):105-125. Available from: https://sid.ir/paper/1065128/en

IEEE: Copy

t.m. Al shami, m. Al shumrani, and c. ozel, “Another form of supra ordered separation axioms,” JOURNAL OF MATHEMATICAL EXTENSION, vol. 15, no. 1, pp. 105–125, 2021, [Online]. Available: https://sid.ir/paper/1065128/en

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