[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.14403/jcms.2010.23.3.535

WEAK DISTANCES

Chung, Se Hwa (Department of Mathematics and Information Kyungwon University)

Publication Information

Journal of the Chungcheong Mathematical Society / v.23, no.3, 2010 , pp. 535-546 More about this Journal

Abstract

In this paper, we introduce a concept of a weak distance and show that AP is a bireflective subcategory of WD. Moreover, we introduce a concept of a co-tower which is an equivalent description of approach spaces.

Keywords

approrach space; distance; weak distance; bireective subcategory; tower; co-tower;

Citations & Related Records

Reference

1	J. Adamic, H. Herrlich, and G. E. Strecker, Abstract and concrete categories, John Wiley, New York, 1990.
2	A. Csaszar, Foundations of general topology, Pergamon Press, Oxford, 1963.
3	J. Dugundji, Topology, Allyn and Bacon, Boston, 1967.
4	H. Herrlich, On a concept of nearness. Gen. Topology Appl., SIAM J. Numer. Anal. 4 (1974), 191-212.
5	H. Herrlich, and G. E. Strecker, Category Theory, Allyn and Bacon Inc., (1973)
6	C. Kuratowski, Topology, Academic Press, 1966, transl.
7	R. Lowen, Approach spaces: a common supercategory of TOP and MET. Math. Nachr. 141 (1989), 183-226. DOI
8	R. Lowen, Approach spaces: The Missing Link in the Topology-Uniformity- Metric Triad, Clarendon Press. Oxford, 1997.
9	E. V. Schepin, On the topological products, groups, and a new class of spaces more general than metric spaces, Sov. Math. Dokl. 17 (1976), 152-155.