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We examine multiple disjointness of minimal flows, that is, we find conditions under which the product of a collection of minimal flows is itself minimal. Our main theorem states that, for a collection ${X_{i}}_{i \in I}$ of minimal flows with a common phase group, assuming each flow satisfies certain structural and algebraic conditions, the product $\prod_{i \in I} X_{i}$ is minimal if and only if $\prod_{i \in I} X_{i}^{e q}$ is minimal, where $X_{i}^{e q}$ is the maximal equicontinuous factor of $X_{i}$ . Most importantly, this result holds when each $X_{i}$ is distal. When the phase...

Multiplier semigroups and weakly almost periodic measures on foundation semigroups.

H.A.M. Dzinotyiweyi (1979)

Semigroup forum

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Minimal and distal functions on semidirect products of groups II.

Minimal and distal functions on semidirect products of groups

Minimal and distal functions on some non-Abelian groups.

Moore groups have the WS-property.

Multiple disjointness and invariant measures on minimal distal flows

Multiplier semigroups and weakly almost periodic measures on foundation semigroups.

Currently displaying 1 – 6 of 6