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Remarks on the formula for \(\gamma\)-interior. (English) Zbl 1060.54001

Summary: The paper presents a formula for the \(\gamma\)-interior of a set under special conditions for \(\gamma:\exp X\to \exp X\), more general than those in the author’s previous paper [Acta Math. Hungar. 80, 89–93 (1998; Zbl 0929.54001)]. There are also some applications.

MSC:

54A05 Topological spaces and generalizations (closure spaces, etc.)

Citations:

Zbl 0929.54001
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Full Text: DOI

References:

[1] Császár, Á., Generalized open sets, Acta Math. Hungar., 75, 65-87 (1997) · Zbl 0924.54003
[2] Császár, Á., On the \(γ\)-interior and \(γ\)-closure of a set, Acta Math. Hungar., 80, 89-93 (1998) · Zbl 0929.54001
[3] Dontchev, J., Idealization of Ganster-Reilly decomposition theorems
[4] Hatir, E.; Noiri, T., On decomposition of continuity via idealization, Acta Math. Hungar., 96, 341-349 (2002) · Zbl 1012.54019
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