This article is cited in 1 paper

Lateral convergence and homomorphisms of Banach bundles

A. E. Gutman, A. V. Koptev

Sobolev Institute of Mathematics, Novosibirsk, Russia

Abstract: 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.

Keywords: topological space, separation, convergent sequence, continuous Banach bundle, homomorphism, section.

UDC: 517.98

Received: 14.01.2025
Revised: 14.01.2025
Accepted: 25.02.2025

DOI: 10.33048/smzh.2025.66.205

 English version: Siberian Mathematical Journal, 2025, 66:2, 279–290