【摘要】 对紧致拓扑空间上的连续自映射序列应用开覆盖定义了点原像熵、原像分枝熵以及原像关系熵等几类原像熵.证明了它们具有次可加性和次可乘性.对紧致度量空间的情形证明了这几类原像熵的开覆盖形式的定义与生成集、分离集形式的定义是等价的.更多还原

【Abstract】 The definitions of pointwise preimage entropies,preimage branch entropy,and preimage relation entropy for nonautonomous discrete dynamical systems given by a sequence of continuous selfmaps of a compact space are given by using open covers.It is shown that all these preimage entropies satisfy subadditivity and submultiplicativity.In particular,when the space is metrizable,these definitions are equivalent to those using spanning or separated sets.更多还原