I (D,B)- supra pre maps via supra topological ordered spaces

Tareq Al-shami; Mohammed K. Tahat

Tareq Al-shami Department of Mathematics, Sana'a University, Sana’a Yemen
Mohammed K. Tahat Saudi Electronic University, Saudi Arabia

Keywords: 𝐼(𝐷,𝐵)-supra 𝑝𝑟𝑒-continuous map; 𝐼(𝐷, 𝐵)-supra 𝑝𝑟𝑒-open map 𝐼(𝐷, 𝐵)-supra 𝑝𝑟𝑒- homeomorphism map, Ordered supra 𝑝𝑟𝑒-separation axioms.

Abstract

Sayed [19] defined a supra 𝑝𝑟𝑒-open set and studied its basic properties. In this work, we introduce various forms of supra continuous (supra open, supra closed, supra homeomorphism) maps in supra topological ordered spaces by using the notions of supra 𝑝𝑟𝑒-open sets and increasing (decreasing, balancing) sets. We illustrate the relationships among these maps with the help of examples. Moreover, we investigate under what conditions these maps preserve some separation axioms between supra topological ordered spaces.

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References

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