2020/11/28 by Turoboś, Filip
#26A48 (Secondary) #54E25 (Primary) 26A30 #FOS: Mathematics #Metric Geometry (math.MG)
paper · doi:10.48550/arxiv.2011.14110
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 Borsìk an Doboš as well as those obtained by Khemaratchatakumthorn and Pongsriiam. As a byproduct we obtain methods of generating non-trivial and infinite strong b-metric spaces which are not metric.