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On regular δ-semi.open space

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Abstract It is shown that if a subset of a topological space (χ, τ) is δ-semi.closed, then it is semi.closed. By use this fact, we introduce the concept regularity of… Click to show full abstract

Abstract It is shown that if a subset of a topological space (χ, τ) is δ-semi.closed, then it is semi.closed. By use this fact, we introduce the concept regularity of a topological space (χ, τ) via δ-semi.open sets. Many properties and results were investigated and studied. In addition we study some maps that preserve the δ-semi.regularity of spaces.

Keywords: open space; space; semi; semi open; regular semi

Journal Title: Journal of Interdisciplinary Mathematics
Year Published: 2021

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