SHIFTLIKE APPROXIMATIONS AND TOPOLOGICAL MIXING
作者:
M. Sears,
期刊:
Quaestiones Mathematicae
(Taylor Available online 1979)
卷期:
Volume 3,
issue 3
页码: 181-188
ISSN:1607-3606
年代: 1979
DOI:10.1080/16073606.1979.9631570
出版商: Taylor & Francis Group
关键词: 54H20
数据来源: Taylor
摘要:
We show that every map in the group G of self-homeomorphisms of the bisequence space can be approximated by homeomorphisms which “look like” the shift map and are expansive. By removing a certain open set of maps from G, we obtain a closed subspace M which contains all mixing maps. If φ · M then any shiftlike approximation to φ is topologically strong mixing. Thus the strong mixing expansive maps are dense in M. Further the weak mixing maps form a dense Gδ sets in M.
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