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.
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页码：203 / 208
页数：6
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