On the metric triangle inequality

Document Type : Research Paper


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


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.