Lipschitz Homotopy Convergence of Alexandrov Spaces,
Lipschitz Homotopy Convergence of Alexandrov Spaces,
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亚历山德罗夫空间的利普希茨同伦收敛，
DOI：
10.1007/s12220-018-0075-6
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发表时间：
2018
影响因子：
1.1
通讯作者：
Ayato Mitsuishi and Takao Yamaguchi,
中科院分区：
文献类型：
--
作者：
Minoda Teppei;Ichiki Kiyotomo;Tashiro Hiroyuki;千葉柾司;Ayato Mitsuishi and Takao Yamaguchi,
引入了度量空间的好覆盖的概念，证明了如果度量空间允许好覆盖，则它与覆盖的神经复形具有相同的局部Lipschitz同伦型.作为应用，我们得到了紧致Alexandrov空间的模空间的Lipschitz同伦稳定性结果。
We introduce the notion of good coverings of metric spaces, and prove that if a metric space admits a good covering, then it has the same locally Lipschitz homotopy type as the nerve complex of the covering. As an application, we obtain a Lipschitz homotopy stability result for a moduli space of compact Alexandrov spaces without collapsing.