Category version of the Poincare' recurrence theorem

被引：9

作者：

Malicky, Peter ^{[1
]}

机构：

[1] Matej Bel Univ, Fac Nat Sci, Dept Math, Banska Bystrica 97401, Slovakia

来源：

TOPOLOGY AND ITS APPLICATIONS | 2007年 / 154卷 / 14期

关键词：

recurrence; first category; Baire space;

D O I：

10.1016/j.topol.2007.05.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove a category version of the Poincare recurrence theorem for a non-invertible map of a Baire space which is continuous, nearly feebly open and has no nonempty open wandering set. (c) 2007 Elsevier B.V. All rights reserved.

引用

页码：2709 / 2713

页数：5

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