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

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

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 -