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.
@article{CML_2012__4_2_A2_0,
author = {Thomas, Simon and Zapletal, Jind\v{r}ich},
title = {On the {Steinhaus} and {Bergman} properties for infinite products of finite groups},
journal = {Confluentes Mathematici},
publisher = {World Scientific Publishing Co Pte Ltd},
volume = {4},
number = {2},
year = {2012},
doi = {10.1142/S1793744212500028},
language = {en},
url = {http://www.numdam.org/articles/10.1142/S1793744212500028/}
}
TY - JOUR AU - Thomas, Simon AU - Zapletal, Jindřich TI - On the Steinhaus and Bergman properties for infinite products of finite groups JO - Confluentes Mathematici PY - 2012 VL - 4 IS - 2 PB - World Scientific Publishing Co Pte Ltd UR - http://www.numdam.org/articles/10.1142/S1793744212500028/ DO - 10.1142/S1793744212500028 LA - en ID - CML_2012__4_2_A2_0 ER -
%0 Journal Article %A Thomas, Simon %A Zapletal, Jindřich %T On the Steinhaus and Bergman properties for infinite products of finite groups %J Confluentes Mathematici %D 2012 %V 4 %N 2 %I World Scientific Publishing Co Pte Ltd %U http://www.numdam.org/articles/10.1142/S1793744212500028/ %R 10.1142/S1793744212500028 %G en %F CML_2012__4_2_A2_0
Thomas, Simon; Zapletal, Jindřich. On the Steinhaus and Bergman properties for infinite products of finite groups. Confluentes Mathematici, Tome 4 (2012) no. 2. doi : 10.1142/S1793744212500028. http://www.numdam.org/articles/10.1142/S1793744212500028/
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