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Feeding and killing end points in chainable continua
Topology and its Applications ( IF 0.6 ) Pub Date : 2021-07-21 , DOI: 10.1016/j.topol.2021.107795 Jerzy Krzempek 1
中文翻译:
在可链接的连续体中喂食和杀死端点
更新日期:2021-07-22
Topology and its Applications ( IF 0.6 ) Pub Date : 2021-07-21 , DOI: 10.1016/j.topol.2021.107795 Jerzy Krzempek 1
Affiliation
Using the classical technique of condensation of singularities, we prove that, for every zero-dimensional, complete separable metric space G, there exists a Suslinian, chainable metric continuum whose set of end points is homeomorphic to G. This answers a question posed by R. Adikari and W. Lewis in [Houston J. Math. 45 (2019), no. 2, pp. 609–624].
中文翻译:
在可链接的连续体中喂食和杀死端点
使用经典的奇点凝聚技术,我们证明,对于每一个零维的、完全可分的度量空间G,都存在一个 Suslinian 的、可链接的度量连续统,其端点集与G同胚。这回答了 R. Adikari 和 W. Lewis 在 [Houston J. Math. 45 (2019), 没有。2,第 609-624 页]。