【摘要】 设(X,T)为度量空间,T∶X→X是连续映射.考虑由X的非空紧子集κ(X)和由度量d诱导的Haus-dorff度量构成的超空间系统(κ(X),T珚),且T珚∶κ(X)→κ(X),T珚(K)={T(x)∶x∈K},K∈κ(X).由此得到在F为滤子时,T的F-混合性与T珚的F-混合性之间的联系.更多还原

【Abstract】 Suppose(X,T) be a metric space,T∶X→X a continuous map.If we consider the space κ(X),) of all non-empty compact subsets of X endowed with the Hausdorff metric induced by d and ∶κ(X)→κ(X),(K)={T(x)∶x∈K},K∈κ(X),then the aim of this work is to obtain the F-mixing relationships between T and when F is filter.更多还原