Some new types of open and closed sets in minimal structures. II. (English) Zbl 1191.54003

Rosas, Ennis; Rajesh, Neelamegarajan; Carpintero, Carlos

Int. Math. Forum 4, No. 41-44, 2185-2198 (2009).

Summary: Different forms of closed sets in \(m\)-spaces are introduced, studied and characterized. We show that the obtained results are a generalization of many of the results obtained by N. Rajesh in [Soochow J. Math. 33, No. 4, 719–727 (2007; Zbl 1151.54326)] and in [On Contra \(\lambda\)-continuity in topological spaces, submitted]

MSC:

54A05	Topological spaces and generalizations (closure spaces, etc.)
54A20	Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.)
54C08	Weak and generalized continuity
54D10	Lower separation axioms (\(T_0\)–\(T_3\), etc.)

Keywords:

\(m _X \)-\(\lambda \) closed set; \(m _X \)-\(\lambda \) open set; \(m _X \)-\(\lambda \) closure

Citations:

Zbl 1151.54326