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  5. 2026

General and Set-Theoretic Topology

Icon: calendar GSTT Session Talk #3B.2 | 2026 Jul 13 from 05:15PM to 05:40PM (Zagreb) | B3-37 (Sibe Mardešić Hall)

Subevent of GSTT Session #3B

‟A soft version of Magill's theorem on n-point Hausdorff compactifications” by Robert Gryczka <robert.jakub.gryczka@gmail.com>, University in SIedlce

Abstract:

Magill’s theorem on necessary and sufficent conditions for topological space to have n point Hausdorff compactification is one of the classical tools in the theory of compactifications of topological spaces. In this talk, a soft version of this theorem will be presented in the context of soft topological spaces. Basic concepts of soft set theory and soft topology will be discussed, with particular emphasis on soft Hausdorff compactifications and their relationships with classical topological constructions. Subsequently, a generalization of Magill’s theorem to the framework of soft topology will be presented, together with conditions characterizing the existence of soft n-point Hausdorff compactifications.

Author Notes:

D. Molodtsov, “Soft Set Theory—First Results”, Computers & Mathematics with Applications, 37 (1999), 19–31. M. Shabir, M. Naz, “On Soft Topological Spaces”, Computers & Mathematics with Applications, 61 (2011), 1786–1799. K.D. Magill Jr., N-point compacti cations, Am. Math. Mon. 72 (1965) 1075-1081 S. Atmaca, Compactification of soft topological spaces, Journal of New Theory 12 (2016), 23-28. R. Sahin, Soft compactification of soft topological spaces: soft star topological spaces, Annals of Fuzzy Mathematics and Informatics 10(2) (2015), 447-464.