Semi-convergence of filters and nets. (English) Zbl 0970.54003

Latif, Raja Mohammad

Math. J. Okayama Univ. 41, 103-109 (1999).

Summary: In [Am. Math. Mon. 70, 36-41 (1963; Zbl 0113.16304)] N. Levine introduced the concept of semi-open set and semi-continuity. Semi-convergence and semi-compactness were first introduced, investigated and characterized by C. Dorsett in [Ann. Soc. Sci. Brux., Ser. I 92, 143-150 (1978; Zbl 0408.54009)] and [Indian J. Mech. Math. 19, 11-17 (1981; Zbl 0508.54020)], respective1y. In this paper semi-convergence and semi-clusterence of filters are introduced, investigated and characterized.

MSC:

54A05	Topological spaces and generalizations (closure spaces, etc.)
54C08	Weak and generalized continuity
54A20	Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.)
54D20	Noncompact covering properties (paracompact, Lindelöf, etc.)

Citations:

Zbl 0113.16304; Zbl 0408.54009; Zbl 0508.54020