Maximal Invariant and Weakly Equivariant Estimators

Equivariant functions can be useful for constructing of maximal invariant statistic. In this article, we discuss construction of maximal invariants based on a given weakly equivariant function under some additional conditions. The theory easily extends to the case of two or more weakly equivariant functions. Also, we derive a maximal invariant statistic when the group contains a sharply transitive and a characteristic subgroup. Finally, we consider the independence of invariant and weakly equivariant functions under some special conditions.     

紧一致空间上的1~*-集与拓扑熵

本文给出：设X为紧一致空间，为f的1*-集，则     

有序拓扑空间上多元函数的连续性定理

本文在有序拓扑空间上建立了[1]中的问题Ⅰ之逆命题,并把它推广到n元情形。     

Semicontinuous Representability of Homothetic Interval Orders by Means of Two Homogeneous Functionals

It is well known that interval orders are particularly interesting in decision theory, since they are reflexive, complete and nontransitive binary relations which may be fully represented by means of two real-valued functions. In this paper, we discuss the existence of a pair of nonnegative, positively homogeneous and semicontinuous real-valued functionals representing an interval order on a real cone in a topological vector space. We recover as a particular case a result concerning the existence of a nonnegative, positively homogeneous and continuous utility functional for a complete preorder on a real cone in a topological vector space.     

半群上若干同余的泛性刻划

本文给出了半群上的最小右零半群同余,最小半格同余,最小群同余的泛性刻划     

关于基数函数qL(X)和sqL(X)的进一步结果

本文改进了文[5]的14个主要结果。特别是本文定理1、定理9、定理10及定理12等分别改进了国外截止目前的最佳不等式:拓广后的Arhangelskii不等式,Sapirouskii不等式和Hajnal-Tuhasz不等式及其它一些较好的不等式。本文定理8、9挖掘了sqL(X)的新的更深刻的特性,从而较大幅度地改进了[5]的对应结果。     

关于移位自映射浑沌性的简化证明

本文通过构造符号空间与[0,1]的可逆对应,证明了符号空间上的移位自映射是浑沌的,简化了文[2]的证明。     

流形上一类自映射邻域的拓扑熵的性质

本文给出流形上的一类自映射中的f的任意邻域V(f,ε),存在基数为C的集μ(?)V(f,ε),任取g∈μ,都有ent(g)=ent(f).     

一类子集半格的强半格的Hall半群

论文得出了半格为如图1所示的子集半格的强半格的Hall半群WS,而且推出了WS的Green关系的充分条件.     

富足p序半群与右弱完全右p序半群的结构

研究了富足p序半群的结构,给出了这类序半群结构定理.定义了右弱完全右p序半群.研究了这种序半群的重要性质,并给出这种序半群的结构分解定理.