Lawson, J. D., and Lisan, Amha T.. "Groups associated with minimal flows." Czechoslovak Mathematical Journal 55.2 (2005): 471-477. <http://eudml.org/doc/30960>.
@article{Lawson2005,
abstract = {Let $S$ be topological semigroup, we consider an appropriate semigroup compactification $\widehat\{S\}$ of $S$. In this paper we study the connection between subgroups of a maximal group in a minimal left ideal of $\widehat\{S\}$, which arise as equivalence classes of some closed left congruence, and the minimal flow characterized by the left congruence. A particular topology is defined on a maximal group and it is shown that a closed subgroup under this topology is precisely the intersection of an equivalence class with the maximal group for some left congruence on $\widehat\{S\}$.},
author = {Lawson, J. D., Lisan, Amha T.},
journal = {Czechoslovak Mathematical Journal},
keywords = {flow; dynamical system; left congruence; maximal group; flow; dynamical system; left congruence; maximal group},
language = {eng},
number = {2},
pages = {471-477},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Groups associated with minimal flows},
url = {http://eudml.org/doc/30960},
volume = {55},
year = {2005},
}
TY - JOUR
AU - Lawson, J. D.
AU - Lisan, Amha T.
TI - Groups associated with minimal flows
JO - Czechoslovak Mathematical Journal
PY - 2005
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 55
IS - 2
SP - 471
EP - 477
AB - Let $S$ be topological semigroup, we consider an appropriate semigroup compactification $\widehat{S}$ of $S$. In this paper we study the connection between subgroups of a maximal group in a minimal left ideal of $\widehat{S}$, which arise as equivalence classes of some closed left congruence, and the minimal flow characterized by the left congruence. A particular topology is defined on a maximal group and it is shown that a closed subgroup under this topology is precisely the intersection of an equivalence class with the maximal group for some left congruence on $\widehat{S}$.
LA - eng
KW - flow; dynamical system; left congruence; maximal group; flow; dynamical system; left congruence; maximal group
UR - http://eudml.org/doc/30960
ER -
