Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4661403 | Topology and its Applications | 2006 | 18 Pages |
Abstract
In this paper proximity, distality and recurrence are studied via Furstenberg families. A new proof of some classical results on the conditions when a proximal relation is an equivalence one is given. Moreover, for a family F, F-almost distality and F-semi-distality are defined and characterized. As an application a new characterization of PI-flows is obtained.
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Mathematics
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