G连续映射与G商映射  

G-continuous mappings and G-quotient mappings

作　　者：刘丽 周先耕 LIU Li;ZHOU Xiangeng(College of Mathematics and Physics,Ningde Normal University,Ningde 352000,Fujian Province,China)

机构地区：[1]宁德师范学院数理学院,福建宁德352000

出　　处：《浙江大学学报(理学版)》2025年第3期397-403,418,共8页Journal of Zhejiang University(Science Edition)

基　　金：福建省自然科学基金资助项目(2023J011078,20240J01933);宁德师范学院创新团队项目(2023T01)。

摘　　要：作为拓扑空间通常收敛性的拓展,在集合X上的方法是定义于X的由某些序列组成的集c_(G)(X)到X的函数G:c_(G)(X)→X。主要研究了由G方法确定的G连续映射与G商映射,及其与拓扑空间的连续映射、商映射的联系,同时讨论了G开映射与G闭映射的一些性质,统一了几类重要的序列收敛性关于连续映射及商映射的一些结果。As a generalization of the usual convergence in topological spaces,a method G on a set X is a function G:c_G(X)→X defined on a subset c_G(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 

分 类 号：O189.1[理学—数学]