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<p>We introduce and study the concepts of injective and lateral convergence in a&#xa0;topological spaceand obtain some results on the existence of homomorphisms of continuous Banach bundles,as well as continuous and weakly continuous vector-valued functions and sectionsthat take preassigned values at the points of injectively and laterally convergent sequences.</p>

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Lateral Convergence and Homomorphisms of Banach Bundles

  • 期刊论文

  • 发表日期：

    2025年3月23日

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  • A. E. Gutman,
  • A. V. Koptev

摘要

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