Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4658154 | Topology and its Applications | 2015 | 12 Pages |
Abstract
In [9], two new kinds of topologies called the open-point topology and the bi-point-open topology on C(X)C(X), the set of all real-valued continuous functions on a Tychonoff space X , have been introduced and their separation and countability properties have been studied. In the present paper, we study the submetrizability and cardinal functions such as extent, cellularity, weight, pseudocharacter, character and tightness of the spaces C(X)C(X) equipped with the open-point and bi-point-open topologies.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Anubha Jindal, R.A. McCoy, S. Kundu,