Properties of some ∗-dense-in-itself subsets

Autor: V. Renuka Devi, D. Sivaraj, T. Tamizh Chelvam
Jazyk: angličtina
Rok vydání: 2004
Předmět:
Zdroj: International Journal of Mathematics and Mathematical Sciences, Vol 2004, Iss 72, Pp 3989-3999 (2004)
Druh dokumentu: article
ISSN: 0161-1712
1687-0425
01611712
DOI: 10.1155/S0161171204403391
Popis: 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.
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