连续d-cone的可补性与插入性质  

Complementarity and Insertion Properties of Continuous d-cone

作　　者：王武[1] 张舜[1] WANG Wu;ZHANG Shun(Zhonghuan Information College Tianjin University of Technology,Tianjin 300380,China)

机构地区：[1]天津理工大学中环信息学院,天津300380

出　　处：《数学的实践与认识》2021年第15期294-299,共6页Mathematics in Practice and Theory

基　　金：天津理工大学中环信息学院青年教师科研育苗项目(2019kylg04)。

摘　　要：对连续d-cone进行了进一步的研究,给出了两种可补cone:唯一可补和w-可补,并给出了两种可补性等价的条件.在此基础上讨论了连续d-cone满足插入性质的条件,并给出了若C为d-cone,P是连续的d-cone,映射族A:C→P满足插入性质的一个充分条件.工作有助于cone理论的进一步研究.In this paper,we turther study the continuous d-cone,give two kinds of complementable cone:uniquely complementable and ω-complementable,At the same time,two complementary equivalent conditions are given.On this basis,we discuss the conditions for continuous d-cone to satisfy the insertion property,and give a sufficient condition for the mapping family A:C→P to satisfy the insertion property if C is d-cone,and p is a continuous d-cone.This work is helpful to the further study of the cone theory.

关 键 词：d-cone 可补 插入性质 

分 类 号：O153.1[理学—数学]