Lateral Convergence and Homomorphisms of Banach Bundles

被引：0

作者：

A. E. Gutman ^{[1
]}

A. V. Koptev ^{[1
]}

机构：

[1] Sobolev Institute of Mathematics,

来源：

Siberian Mathematical Journal | 2025年 / 66卷 / 2期

关键词：

topological space; separation; convergent sequence; continuous Banach bundle; homomorphism; section; 517.98;

D O I：

10.1134/S0037446625020053

中图分类号：

学科分类号：

摘要：

We introduce and study the concepts of injective and lateral convergence in a topological space and obtain some results on the existence of homomorphisms of continuous Banach bundles, as well as continuous and weakly continuous vector-valued functions and sections that take preassigned values at the points of injectively and laterally convergent sequences.

引用

页码：279 / 290

页数：11

共 24 条

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