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Inverse limits of uniform covering maps

机译:统一覆盖图的反极限

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In [N. Brodskiy, J. Dydak, B. LaBuz, A. Mitra, Rips complexes and covers in the uniform category, preprint] the authors define, following James, covering maps of uniform spaces and introduce the concept of generalized uniform covering maps. Conditions for the existence of universal uniform covering maps and generalized uniform covering maps are given. This paper notes that the universal generalized uniform covering map is uniformly equivalent to the inverse limit of uniform covering maps and provides a characterization of generalized uniform covering maps that are uniformly equivalent to the inverse limit of uniform covering maps.
机译:旅店。 Brodskiy,J.Dydak,B.LaBuz,A.Mitra,Rips组合和封面(统一印刷,预印本)作者根据James定义,覆盖了统一空间图,并介绍了广义统一覆盖图的概念。给出了通用统一覆盖图和广义统一覆盖图的存在条件。本文指出,通用广义统一覆盖图均匀地等于统一覆盖图的逆极限,并且提供了广义统一覆盖图的特征,其均匀地等同于均匀覆盖图的逆极限。

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