Properties of some ∗ -dense-in-itself subsets

V. Renuka Devi, D. Sivaraj and T. Tamizh Chelvam

International Journal of Mathematics and Mathematical Sciences, 2004, vol. 2004, 1-11

Abstract:

ℐ -open sets were introduced and studied by Janković and Hamlett (1990) to generalize the well-known Banach category theorem. Quasi- ℐ -openness was introduced and studied by Abd El-Monsef et al. (2000). These are ∗ -dense-in-itself sets of the ideal spaces. In this note, properties of these sets are further investigated and characterizations of these sets are given. Also, their relation with ℐ -dense sets and ℐ -locally closed sets is discussed. Characterizations of completely codense ideals are given in terms of semi-preopen sets.

Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:642821

DOI: 10.1155/S0161171204403391

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