TY - JOUR
T1 - A weakly mixing upside-down tower of isometric extensions
AU - Glasner, S.
AU - Weiss, B.
PY - 1981/6
Y1 - 1981/6
N2 - On the infinite torus X =using a category argument, we produce a large family of homeomorphisms such that for every element S in this family the flow (S, X) is weakly mixing and strictly ergodic. Moreover, writing Xn={n, n + 1…} and letting Πn, m, for nm, S induces for every n, a homeomorphism of Xnand the extensions are isometric. We also show that, for every S in this family, (S, X) is disjoint from every purely weakly mixing flow.
AB - On the infinite torus X =using a category argument, we produce a large family of homeomorphisms such that for every element S in this family the flow (S, X) is weakly mixing and strictly ergodic. Moreover, writing Xn={n, n + 1…} and letting Πn, m, for nm, S induces for every n, a homeomorphism of Xnand the extensions are isometric. We also show that, for every S in this family, (S, X) is disjoint from every purely weakly mixing flow.
UR - http://www.scopus.com/inward/record.url?scp=84870064361&partnerID=8YFLogxK
U2 - 10.1017/S0143385700009196
DO - 10.1017/S0143385700009196
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AN - SCOPUS:84870064361
SN - 0143-3857
VL - 1
SP - 151
EP - 157
JO - Ergodic Theory and Dynamical Systems
JF - Ergodic Theory and Dynamical Systems
IS - 2
ER -