Atlas home || Conferences | Abstracts | about Atlas

Workshop on Coverings, Selections and Games in Topology
June 27-29, 2002
Department of Mathematics, University of Lecce
Lecce, Italy

Organizers
Cosimo Guido, Ljubisa Kocinac, Marion Scheepers

View Abstracts
Conference Homepage

More on d-semiopen sets
by
Dimitris Georgiou
Department of Mathematics, University of Patras, 265 00 Patras, Greece
Coauthors: M. Caldas (Universidade Federal Fluminense, Niteroi, Brasil), S. Jafari (Roskilde University, Denmark), T. Noiri (Yatsushiro College of Technology,Kumamoto, Japan)

In 1963, Levine [1] introduced the notion of semi-open sets which is weaker than the notion of open sets in topological spaces. Since then several interesting generalized open sets came to existence. In 1968, Velicko [3] introduced delta-open sets, which are stronger than open sets, in order to investigate the characterization of H-closed spaces. In 1997, Park et al. [2] have offered a new notion called \delta-semiopen sets which are stronger than semi-open sets but weaker than \delta-open sets They also studied the relationships between these sets and several other types of open sets.

It is the aim of this talk to offer some weak separation axioms by utilizing \delta-semiopen sets and the \delta-semiclosure operator.

REFERENCES

[1] N. Levine, Semi-open sets and semi-continuity in topological spaces, Amer. Math. Monthly 70(1963), 36-41.

[2] J. H. Park, B. Y. Lee and M. J. Son, On delta-semiopen sets in topological spaces, J. Indian Acad. Math. 19(1997), 59-67.

[3] N. V. Velicko, H-closed topological spaces, Mat. Sb. 70(1966), 98-112; English transl. in Amer. Math. Soc. Transl. 78(1968), 103-118.

Date received: April 26, 2002

Copyright © 2002 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cajd-02.