The abhors determine the Hausdoar and Bouligand dimensions of a class of recurrent setsby usillg elemelltare mathods and, as a corollaly, give a new proof of a conjecture by Dekkingwhich has been proved by Bedford by ...The abhors determine the Hausdoar and Bouligand dimensions of a class of recurrent setsby usillg elemelltare mathods and, as a corollaly, give a new proof of a conjecture by Dekkingwhich has been proved by Bedford by using the ergodic techniques.展开更多
Let X be a metric space. We say that a continuous surjection f:X→X is a topological Anosov map (abbrev. TA map) if f is expansive and has pseudo orbit tracing property with respect to some compatible me...Let X be a metric space. We say that a continuous surjection f:X→X is a topological Anosov map (abbrev. TA map) if f is expansive and has pseudo orbit tracing property with respect to some compatible metric for X . This paper studies the properties of TA maps of non compact metric spaces and gives some conditions for the map to be topologically mixing.展开更多
We introduce the concept of asymptotic pseudo orbit tracing property (APOTP) and obtain a new condition by the APOTP for which a homeomor-phism is a non-wandering homeomorphism.
文摘The abhors determine the Hausdoar and Bouligand dimensions of a class of recurrent setsby usillg elemelltare mathods and, as a corollaly, give a new proof of a conjecture by Dekkingwhich has been proved by Bedford by using the ergodic techniques.
文摘Let X be a metric space. We say that a continuous surjection f:X→X is a topological Anosov map (abbrev. TA map) if f is expansive and has pseudo orbit tracing property with respect to some compatible metric for X . This paper studies the properties of TA maps of non compact metric spaces and gives some conditions for the map to be topologically mixing.
基金Project supported by the National Natural Science Foundation of China(10361001)the Natural Science Foundation of the Committee of Education of Jiangshu Province (02KJB110008).
文摘We introduce the concept of asymptotic pseudo orbit tracing property (APOTP) and obtain a new condition by the APOTP for which a homeomor-phism is a non-wandering homeomorphism.
