ON THE STEINHAUS AND BERGMAN PROPERTIES FOR INFINITE PRODUCTS OF FINITE GROUPS

Confluentes Mathematici

THOMAS, SIMON¹  ZAPLETAL, JINDŘICH² 

[1] Institute of Mathematics, Czech Academy of Sciences, Prague, Czech Republic;Mathematics Department, Rutgers University, 110 Frelinghuysen Road, Piscataway, NJ 08854-8019, USA

关键词: Ultrafilters;    products of finite groups;    automatic continuity;   

DOI  :  10.1142/S1793744212500028

学科分类：数学（综合）

来源: World Scientific Publishing Co. Pte. Ltd.

【 摘 要 】

We study the relationship between the existence of nonprincipal ultrafilters over ω and the failure of the automatic continuity, Steinhaus and Bergman properties for infinite products of finite groups.

【 授权许可】

Unknown