@article { Gutman20250115, author = "Gutman A.E. and Emelianenkov I.A.", title = "Lateral convergence and homomorphisms of Banach bundles", journal = "Sib. Math. J.", year = "2025", volume = "66", number = "2", pages = "279--290", doi = "10.1134/S0037446625020053", 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" }