浙江大学学报（理学版）2025，Vol.52Issue(3)：397-403,418,8.DOI:10.3785/j.issn.1008-9497.2025.03.013
G连续映射与G商映射
G-continuous mappings and G-quotient mappings
摘要
Abstract
As a generalization of the usual convergence in topological spaces,a method G on a set X is a function G:cG(X)→X defined on a subset cG(X)which is constituted by some sequences in X.In this paper,we mainly study the G-continuous mappings and the G-quotient mappings determined by G-methods and their connections with continuous mappings and quotient mappings in topological spaces.At the same time,we also discuss some properties of G-open mappings and G-closed mappings,and unify some results of several important convergence of sequences involving continuous mappings and quotient mappings.关键词
拓扑空间/收敛序列/连续映射/商映射/G方法/G连续映射/G开映射/G闭映射/G商映射Key words
topological spaces/convergent sequences/continuous mappings/quotient mappings/G-methods/G-continuous mappings/G-open mappings/G-closed mappings/G-quotient mappings分类
数理科学引用本文复制引用
刘丽,周先耕..G连续映射与G商映射[J].浙江大学学报（理学版）,2025,52(3):397-403,418,8.基金项目
福建省自然科学基金资助项目(2023J011078,20240J01933) （2023J011078,20240J01933）
宁德师范学院创新团队项目(2023T01). （2023T01）
