连续映射的拓扑原像压

On Topological Preimage Pressure of Maps

作为原像熵概念的推广,对紧致度量空间上的连续映射f,文章应用原像集的张成集和分离集,引入了四类原像压Pα(f,·)(α=p,m,i,r),探讨了这些原像压的若干性质,并推广了拓扑熵和原像熵的有关结论。

As an extension of the concepts of preimage entropies, and by means of the separated and the spanningsets of preimage set, this paper introduces the definitions of the four types about preimage pressure Pa（f,·）（here α = p, m, i, r） for mappings on compact metric spaces, explores some properties of these preimagepressures, and extends some results of topological entropy and preimage entropies.