Yet Another Generalization of The Notion of a Metric Space
General Topology
2020-09-03 v1 Metric Geometry
Abstract
A generalization of the triangle inequality is introduced by a mapping similar to a t-conorm mapping. This generalization leads us to a notion for which we use the -metric terminology. We are interested in the topological space induced by a -metric. Considering some examples of non-trivial -metrizable topological spaces, we also study the product topology for a finite family of -metrizable topological spaces.
Keywords
Cite
@article{arxiv.2009.00943,
title = {Yet Another Generalization of The Notion of a Metric Space},
author = {Seyed Mohammad Amin Khatami and Madjid Mirzavaziri},
journal= {arXiv preprint arXiv:2009.00943},
year = {2020}
}