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Original Articles
Metrizable and 2-Metrizable Topological Spaces
Mohammad Reza Farhangdoostfarhang@shirazu.ac.irDepartment of MathematicsCollege of SciencesShiraz UniversityP.O. Box 71457- 44776, Shiraz, IranView full profile →
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- Received:
- 14 Mar 2011
- Accepted:
- 17 Jul 2011
- Published Online:
- 03 Jun 2013
- Article type:
- Original Articles
- Language:
- EN
- Article no.:
- 1726037X.2012.10698608
- Pages:
- 61–69
Abstract
In this paper we introduce (∈ − 2)-ball centered at each point in 2-metric topological space (X,d). Theorems on the normal, regular and Hausdorff topological spaces in 2-metrizable topological space are presented. We show that every metrizable topological spaces are coarser than 2-metrizable topological space, and then we conclude that each manifold is a 2-metric topological space.
Keywords
References
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