Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5777757 | Topology and its Applications | 2017 | 27 Pages |
Abstract
In this paper, we topologically study the partial metric space, which may be seen as a new sub-branch of the pure asymmetric topology. We show that many familiar topological properties and principles still hold in certain partial metric spaces, although some results might need some advanced assumptions. Various properties, including separation axioms, countability, connectedness, compactness, completeness and Ekeland's variation principle, are discussed.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Suzhen Han, Jianfeng Wu, Dong Zhang,