论文标题
还是对度量空间概念的另一个概括
Yet Another Generalization of The Notion of a Metric Space
论文作者
论文摘要
通过类似于T-conorm映射的映射，引入了三角形不等式的概括。这种概括使我们提出了一个概念，我们使用$ \ star $ metric术语。我们对由$ \ star $ metric引起的拓扑空间感兴趣。考虑到一些非平凡的$ \ star $ - 可覆盖拓扑空间的示例，我们还研究了有限的$ \ star $ - 用$偏式拓扑空间的产品拓扑。
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 $\star$-metric terminology. We are interested in the topological space induced by a $\star$-metric. Considering some examples of non-trivial $\star$-metrizable topological spaces, we also study the product topology for a finite family of $\star$-metrizable topological spaces.
