AUTOMATIC CONTINUITY FOR HOMOMORPHISMS INTO FREE PRODUCTS

被引：6

作者：

Slutsky, Konstantin ^{[1
]}

机构：

[1] Univ Copenhagen, Dept Math Sci, DK-2100 Copenhagen O, Denmark

来源：

JOURNAL OF SYMBOLIC LOGIC | 2013年 / 78卷 / 04期

关键词：

Automatic continuity; free product;

D O I：

10.2178/jsl.7804160

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A homomorphism from a completely metrizable topological group into a free product of groups whose image is not contained in a factor of the free product is shown to be continuous with respect to the discrete topology on the range. In particular, any completely metrizable group topology on a free product is discrete.

引用

页码：1288 / 1306

页数：19

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