Typical Property of the Topological Entropy of Continuous Mappings of Compact Setsстатья
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Дата последнего поиска статьи во внешних источниках: 22 июля 2017 г.
Аннотация:We show that the topological entropy viewed as a functional on the space of continuous
mappings of a metric compact set into itself with the uniform topology is a function
of the second Baire class and is lower semicontinuous at a Baire typical point. In particular,
we show that the topological entropy is zero at a Baire typical point of the space of continuous
mappings of the Baire space of sequences of zeros and units.