Document Type : Research Paper

Author

• Alexandre Mihai Bica

Department of Mathematics and Informatics, University of Oradea, Universitatii Street no. 1, 410087 Oradea, Romania

Abstract

A non-contradictible axiomatic theory is constructed under the local reversibility of the metric triangle inequality. The obtained notion includes the metric spaces as particular cases and the generated metric topology is T${}_1$-separated and generally, non-Hausdorff.

Keywords

• Generalized metric space
• Triangle inequality
• Separated topologies
• non-Euclidean geometry