Abstract
For an action of a finitely generated group G on a compact space X we define recurrence at a point and then show that, when X is zero dimensional, the conditions (i) pointwise recurrence, (ii) X is a union of minimal sets and (iii) the orbit closure relation is closed in X × X, are equivalent. As a corollary we get that for such flows distality is the same as equicontinuity. In the last part of the paper we describe an example of a -flow where all points are positively recurrent, but there are points which are not negatively recurrent.
Original language | English |
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Pages (from-to) | 107-114 |
Number of pages | 8 |
Journal | Forum Mathematicum |
Volume | 19 |
Issue number | 1 |
DOIs | |
State | Published - 29 Jan 2007 |