A NOTE ON AUTOMATIC CONTINUITY

被引：16
|
作者：
Conner, Gregory R. [1 ]
Corson, Samuel M. [2 ]
机构：
[1] Brigham Young Univ, Dept Math, Provo, UT 84602 USA
[2] Univ Basque Country, Ikerbasque Basque Fdn Sci & Matemat Saila, Sarriena S-N, Leioa 48940, Spain
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2019年 / 147卷 / 03期
基金：
欧洲研究理事会;
关键词：
Slender group; Thompson's group; word hyperbolic group; completely metrizable group; locally compact Hausdorff group;
D O I：
10.1090/proc/14242
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We present new results regarding automatic continuity, unifying some diagonalization concepts that have been developed over the years. For example, any homomorphism from a completely metrizable topological group to Thompson's group F has open kernel. A similar claim holds when F is replaced with a Baumslag-Solitar group or a torsion-free word hyperbolic group.
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页码：1255 / 1268
页数：14
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