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On typical leaves of a measured foliated 2-complex of thin typeстатья
- Авторы: Dynnikov I., Skripchenko A.
- Сборник: Topology, Geometry, Integrable Systems, and Mathematical Physics: Novikov's Seminar 2012-2014
- Серия: American Mathematical Society Translations, Series 2
- Том: 234
- Год издания: 2014
- Место издания: American Mathematical Society Providence, RI USA
- Первая страница: 173
- Последняя страница: 199
- Аннотация: It is known that all but finitely many leaves of a measured foliated 2-complex of thin type are quasi-isometric to an infinite tree with at most two topological ends. We show that if the foliation is cooriented, and the associated R-tree is self-similar, then a typical leaf has exactly one topological end. We also construct the first example of a foliated 2-complex of thin type whose typical leaf has exactly two topological ends. `Typical' means that the property holds with probability one in a natural sense.
- Добавил в систему: Дынников Иван Алексеевич