[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.5666/KMJ.2013.53.1.125

On Nearly Pairwise Compact Spaces

Mukharjee, Ajoy (Department of Mathematics, St. Joseph's College, Darjeeling)
Bose, Manoj Kumar (Department of Mathematics, University of North Bengal)

Publication Information

Kyungpook Mathematical Journal / v.53, no.1, 2013 , pp. 125-133 More about this Journal

Abstract

In this paper, we introduce the notion of near pairwise compactness which generalizes the notion of pairwise compactness.

Keywords

(i, j)regularly open; (i, j)regularly closed; pairwise semiregular; pairwise almost regular; nearly pairwise compact; almost pairwise compact; bifilter; bicluster point; biconvergent point;

Citations & Related Records

Reference

1	M. K. Singal and A. R. Singal, Some more separation axioms in bitopological spaces, Ann. Soc. Sci. Brux., 84(1970), 207-230.
2	M. K. Singal and A. Mathur, On nearly compact spaces, Boll. Unione Mat. Ital. (4), 6(1969), 702-710.
3	J. Swart, Total disconnectedness in bitopological spaces and product bitopological spaces, Indag. Math., 33(1971), 135-145.
4	D. Carnahan, Locally nearly-compact spaces, Boll. Unione Mat. Ital. (4), 6(1972), 146-153.
5	P. Fletcher, H. B. Hoyle III and C. W. Patty, The comparison of topologies, Duke Math. J., 36(1969), 325-331. DOI
6	L. L. Herrington, Properties of nearly-compact spaces, Proc. Amer. Math. Soc., 45(1974), 431-436.
7	J. E. Joseph, Characterizations of nearly-compact spaces, Boll. Unione Mat. Ital. (5), 13-B(1976), 311-321.
8	J. C. Kelly, Bitopological spaces, Proc. Lond. Math. Soc. (3), 13(1963), 71-89.
9	J. N. Nandi, Bitopological near compactness I: Characterizations, Bull. Calcutta Math. Soc., 85(1993), 337-344.
10	D. H. Pahk and B. D. Choi, Notes on pairwise compactness, Kyungpook Math. J., 11(1971), 45-52.
11	M. K. Singal and A. Mathur, On nearly compact spaces - II, Boll. Unione Mat. Ital. (4), 9(1974), 670-678.