@article { Gutman20250114, author = "Gutman A.E. and Koptev A.V.", title = "Lateral convergence and homomorphisms of Banach bundles", journal = "Sib. Matem. Zh.", year = "2025", volume = "66", number = "2", pages = "188--203", doi = "10.33048/smzh.2025.66.205", language = "russian", annote = "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" }