Perfect mapping is one of the important notions in topology. It is a noticeable topic to define a proper concept of L-fuzzy perfect mappings. Azad and Chen Bisheng introduced the concepts of fuzzy mappings for the cas...Perfect mapping is one of the important notions in topology. It is a noticeable topic to define a proper concept of L-fuzzy perfect mappings. Azad and Chen Bisheng introduced the concepts of fuzzy mappings for the case L=[0, 1], respectively. However, each of展开更多
In this paper, the interconnection of som e ergodic properties betw een a continuous selfm ap and its inverse lim itis studied. Ithas been proved that(1) theirinvariantBorelproba- bility m easures are identicalup to...In this paper, the interconnection of som e ergodic properties betw een a continuous selfm ap and its inverse lim itis studied. Ithas been proved that(1) theirinvariantBorelproba- bility m easures are identicalup to hom eom orphism and (2) they preserve uniform positive en- tropy property sim ultaneously. As applications, it is also proved that the upper sem i-continu- ous properties of their entropy m aps are restricted each other, and the entropy m ap of the asym ptotically h-expansivecontinuous m ap isuppersem i-continuous, atthe sam e tim e acontin- uous m ap having u.p.e. is topologicalweak-m ixing.展开更多
基金Project supported partly by the National Natural Science Foundation of China
文摘Perfect mapping is one of the important notions in topology. It is a noticeable topic to define a proper concept of L-fuzzy perfect mappings. Azad and Chen Bisheng introduced the concepts of fuzzy mappings for the case L=[0, 1], respectively. However, each of
文摘In this paper, the interconnection of som e ergodic properties betw een a continuous selfm ap and its inverse lim itis studied. Ithas been proved that(1) theirinvariantBorelproba- bility m easures are identicalup to hom eom orphism and (2) they preserve uniform positive en- tropy property sim ultaneously. As applications, it is also proved that the upper sem i-continu- ous properties of their entropy m aps are restricted each other, and the entropy m ap of the asym ptotically h-expansivecontinuous m ap isuppersem i-continuous, atthe sam e tim e acontin- uous m ap having u.p.e. is topologicalweak-m ixing.
