论文标题
模糊度量空间的渐近维度
Asymptotic dimension of fuzzy metric spaces
论文作者
论文摘要
在本文中，我们在乔治和Veeramini的意义上定义了模糊度量空间的渐近维度。我们证明，渐近维度是模糊度量空间的粗糙类别中不变的。我们还显示了模糊环境中渐近维度的几个后果，这些后果类似于公制设置中渐近维度的后果。我们结束了一些模糊度量空间的计算渐近维度。
In this paper, we define asymptotic dimension of fuzzy metric spaces in the sense of George and Veeramini. We prove that asymptotic dimension is an invariant in the coarse category of fuzzy metric spaces. We also show several consequences of asymptotic dimension in the fuzzy setting which resemble the consequences of asymptotic dimension in the metric setting. We finish with calculating asymptotic dimension of a few fuzzy metric spaces.
