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Some generalizations of locally closed sets. (English) Zbl 1455.54004

Summary: F. G. Arenas et al. [Quest. Answers Gen. Topology 15, No. 1, 3–13 (1997; Zbl 0876.54011)] introduced the notion of \(\lambda\)-closed sets as a generalization of locally closed sets. In this paper, we introduce the notions of \(\lambda\)-locally closed sets, \(\Lambda_\lambda\)-closed sets and \(\lambda_g\)-closed sets and obtain some decompositions of closed sets and continuity in topological spaces.

MSC:

54A05 Topological spaces and generalizations (closure spaces, etc.)
54C08 Weak and generalized continuity

Citations:

Zbl 0876.54011
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References:

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