TY - JOUR
T1 - A topological version of a theorem of Veech and almost simple flows
AU - Glasner, Eli
PY - 1990/9
Y1 - 1990/9
N2 - Almost simple (AS) minimal flows are defined and it is shown that any factor map of an AS flow is, up to almost 1−1 equivalence, a group factor. An analogous theorem for metric, regular, point distal extensions is proved. In particular a theorem of Gottschalk is strengthened to show that any regular, point distal, metric flow is equicontinuous. When the acting group T is commutative it is shown that every proper minimal joining of an AS flow X and a minimal flow Y, is, up to almost 1−1 extensions, the relative product of X and Y over a common factor which is a group factor of X.
AB - Almost simple (AS) minimal flows are defined and it is shown that any factor map of an AS flow is, up to almost 1−1 equivalence, a group factor. An analogous theorem for metric, regular, point distal extensions is proved. In particular a theorem of Gottschalk is strengthened to show that any regular, point distal, metric flow is equicontinuous. When the acting group T is commutative it is shown that every proper minimal joining of an AS flow X and a minimal flow Y, is, up to almost 1−1 extensions, the relative product of X and Y over a common factor which is a group factor of X.
UR - http://www.scopus.com/inward/record.url?scp=84971922682&partnerID=8YFLogxK
U2 - 10.1017/S0143385700005691
DO - 10.1017/S0143385700005691
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AN - SCOPUS:84971922682
SN - 0143-3857
VL - 10
SP - 463
EP - 482
JO - Ergodic Theory and Dynamical Systems
JF - Ergodic Theory and Dynamical Systems
IS - 3
ER -