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Lateral convergence and homomorphisms of Banach bundles Full article

Journal Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260
Output data Year: 2025, Volume: 66, Number: 2, Pages: 279-290 Pages count : 12 DOI: 10.1134/S0037446625020053
Tags topological space, separation, convergent sequence, continuous Banach bundle, homomorphism, section
Authors Gutman A.E. 1 , Koptev A.V. 1
Affiliations
1 Sobolev Institute of Mathematics, Novosibirsk, Russia

Funding (1)

1 Sobolev Institute of Mathematics FWNF-2022-0004

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.
Cite: Gutman A.E. , Koptev A.V.
Lateral convergence and homomorphisms of Banach bundles
Siberian Mathematical Journal. 2025. V.66. N2. P.279-290. DOI: 10.1134/S0037446625020053 Scopus РИНЦ OpenAlex
Original: Гутман А.Е. , Коптев А.В.
Латеральная сходимость и гомоморфизмы банаховых расслоений
Сибирский математический журнал. 2025. Т.66. №2. С.188-203. DOI: 10.33048/smzh.2025.66.205 РИНЦ
Dates:
Submitted: Jan 14, 2025
Accepted: Feb 25, 2025
Published print: Mar 23, 2025
Published online: Mar 23, 2025
Identifiers:
Scopus: 2-s2.0-105000767699
Elibrary: 80504515
OpenAlex: W4408735578
Citing: Пока нет цитирований
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