On characterization of functions preserving metric-type conditions via triangular and polygonal structures
Metric Geometry
2020-12-01 v1
Abstract
Following the train of thought from our previous paper we revisit the theorems of Pongsriiam and Termwuttipong by further developing their characterization of certain property-preserving functions using the so-called triangle triplets. We develop more general analogues of disjoint sum lemmas for broader classes of metric-type spaces and we apply these to extend results of Bors\`ik an Dobo\v{s} as well as those obtained by Khemaratchatakumthorn and Pongsriiam. As a byproduct we obtain methods of generating non-trivial and infinite strong -metric spaces which are not metric.
Cite
@article{arxiv.2011.14110,
title = {On characterization of functions preserving metric-type conditions via triangular and polygonal structures},
author = {Filip Turoboś},
journal= {arXiv preprint arXiv:2011.14110},
year = {2020}
}