Selections and order-like relations
Selections and order-like relations
复制标题
选择和类顺序关系
DOI：
10.4995/agt.2001.2150
复制
发表时间：
2001
影响因子：
0.8
通讯作者：
T. Nogura
中科院分区：
文献类型：
--
作者：
V. Gutev;T. Nogura
对于集合X的至多两点子集的族F2（X）的每个选择f自然地通过当且仅当定义了X上的类序关系。本文研究了X上实现f关于由T生成的F2（X）上的Vietoris拓扑的连续性的可能拓扑T与T之间的关系。
Every selection f for the family F 2 (X) of at most two-point subsets of a set X naturally defines an order-like relation on X by if and only . In the present paper we study the relationship between and the possible topologies T on X which realize the continuity of f with respect to the Vietoris topology on F 2 (X) generated by T.