通过三角形和多边形结构刻画保持度量型条件的函数
On characterization of functions preserving metric-type conditions via triangular and polygonal structures
摘要：
继训练的思想，从我们以前的论文，我们重温Pongsriiam和Termwuttipong定理，进一步发展他们的某些性质保持功能的特征，使用所谓的三角三胞胎。我们为更广泛的度量型空间类开发了不相交和引理的更一般的类似物，并将这些应用于扩展Borsðk和Doboš的结果以及Khemaratchatakumthorn和Pongsriiam获得的结果。作为一个副产品，我们得到的方法产生非平凡和无限强$b$ -度量空间，这是不是度量。
英文摘要：
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.
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