Title of article
On the predictability of discrete dynamical systems III
Author/Authors
Nilson C. Bernardes Jr.، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2008
Pages
12
From page
58
To page
69
Abstract
Given an integer n 2, a metrizable compact topological n-manifold X with boundary and a finite positive Borel measure μ
on X, we prove that “most” homeomorphisms f :X→X are non-sensitive μ-almost everywhere on X. Moreover, we also prove
that for “most” homeomorphisms f :X→X the non-wandering set Ωf has μ-measure zero.
© 2007 Elsevier Inc. All rights reserved
Keywords
Baire category , Non-sensitivity , Homeomorphisms , Topological manifolds , Non-wandering points , Measures
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2008
Journal title
Journal of Mathematical Analysis and Applications
Record number
936600
Link To Document