On Iα - Open Set in Ideal Topological Spaces

A. E. Radwan, A. A. Abd- Elgawad, Hanan Zaky Hassan

Abstract


The aim of this paper is to study separation axioms and compactness of Iα- open set in ideal topological spaces, which was introduced by M.E. Abd El-Monsef, etc [1].


Keywords


Iα - open set; - - space; - - space; - - space; - - space; Iα -N - space and Iα - compact space.

Full Text:

PDF

References


M. E. Abd El-Monsef, A. E. Radwan and A. I. Nasir, Some generalized forms of compactness in ideal topological spaces, Archives Des Sciences, Vol.66, no.3, Mar 2013,334-342.

D. Jankovic, T. R. Hamlett, New topologies from old via ideals, Amer, Math, Monthly, 97(1990), 259-310.

K. Kuratowski, Topology, Vol 1, New York: Academic Press, (1933).

A. A. Nasef, Ideals in general topology, Ph.D, Thesis, Tanta University, (1992).

O.Njastad, On some classes of nearly open sets, Pacific J, Math. 15(1965), 961-970.

A. E. Radwan, A. A. Abd- Elgawad and H. Z. Hassan, On Iα- connected spaces via ideal, Journal of Advances in Mathematics.(2015),3006-3014

V.Vaidyanathaswamy, The localization theory in set topology, Pro. Indian Acad. Sci, 20(1945),51-61.


Refbacks

  • There are currently no refbacks.


Copyright (c) 2015 Journal of Progressive Research in Mathematics

Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

Copyright © 2016 Journal of Progressive Research in Mathematics. All rights reserved.

ISSN: 2395-0218.

For any help/support contact us at editorial@scitecresearch.com, jprmeditor@scitecresearch.com.