On $b$-open sets

Authors

  • Dimitrije Andrijević Poljoprivredni fakultet, University of Belgrade, Nemanjina 6, 11081 Beograd–Zemun, Yugoslavia Author

Keywords:

Topological space, generalized open sets, $\alpha$-set, $b$-open, semi-open, preopen, semi-preopen set

Subjects:

54A10

Abstract

A new class of generalized open sets in a topological space, called $b$-open sets, is introduced and studied. This class is contained in the class of semi-preopen sets and contains all semi-open sets and all preopen sets. It is proved that the class of $b$-open sets generates the same topology as the class of preopen sets.

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Published

1996-04-15