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On Ω-closed sets and Ωs-closed sets in topological spaces

Acta Mathematica Hungarica, 2005
New classes of sets called Ω-closed sets and Ωs-closed sets are introduced and studied. Also, we introduce and study Ω-continuous functions and Ωs-continuous functions and prove pasting lemma for these functions. Moreover, we introduce classes of topological spaces Ω-T1/2 and Ω-Ts.
Takashi Noiri, Osama Rashed Sayed
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On Closed, Totally Bounded Sets

Canadian Mathematical Bulletin, 1966
C. Goffman asserts that "… in a metric space X a set S is compact if and only if it is closed and totally bounded." [1] and "… every totally bounded sequence in a metric space has convergent subsequence." [2].The statements (incidentally, equivalent to each other) are both wrong, as the following counter-example shows.
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Between semi-closed sets and semi-pre-closed sets

2011
The author introduces a new class of generalized closed sets which he calls \(\psi\)-closed sets. A subset \(A\) of a topological space \(X\) is said to be \(\psi\)-closed if \(\text{scl}(A) \subseteq U\) whenever \(A\subseteq U\) and \(U\) is sg-open in \(X\).
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On Soft Generalized ω-Closed Sets and Soft T1/2 Spaces in Soft Topological Spaces

Axioms, 2022
Samer Al Ghour
exaly

Between Closed Sets And -Closed Sets