四川大学学报（自然科学版）2020，Vol.57Issue(2)：205-210,6.DOI:10.3969/j.issn.0490-6756.2020.02.001
Yoneda完备度量空间范畴的完备性和余完备性
Completeness and cocompleteness of categories of Yoneda complete metric space
摘要
Abstract
This paper investigates the completeness and cocompleteness of some categories of Yoneda complete metric space .It is show n that if the morphisms are chosen to be Yoneda continuous maps or Yoneda continuous nonexpansive maps ,then the category is both complete and cocomplete;if the mor-phisms are chosen to be Yoneda continuous Lipschitz maps ,then the category is finitely complete and fi-nitely cocomplete ,but neither complete nor cocomplete .It is also show n that the category of real-valued continuous lattice and Yoneda continuous right adjoints is complete .关键词
度量空间/Yoneda完备/完备范畴/余完备范畴Key words
Metric space/Yoneda complete/Complete category/Cocomplete category分类
数理科学引用本文复制引用
陈金鑫..Yoneda完备度量空间范畴的完备性和余完备性[J].四川大学学报（自然科学版）,2020,57(2):205-210,6.基金项目
国家自然科学基金(11871358) （11871358）
