An example of a σ-compact monothetic group which is not compactly generated

被引：0

作者：

Tkachenko, M

Falcón, YT

机构：

[1] Univ Autonoma Metropolitana Iztapalapa, Dept Filos, Mexico City 09340, DF, Mexico

[2] Univ Autonoma Metropolitana Iztapalapa, Dept Matemat, Mexico City 09340, DF, Mexico

来源：

BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA | 2004年 / 10卷 / 02期

关键词：

topological group; compactly generated; monothetic; sigma-compact; precompact; Bohr topology; sequentially complete;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct a countable (hence, sigma-compact) monothetic topological group G which is not compactly generated, thus answering in the negative a question posed by Fujita and Shakhmatov. In addition, our group G is precompact and sequentially complete.

引用

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页码：203 / 208

页数：6

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