Homeomorphisms of Banach spaces over non-Archimedean fields with products of fields

TL;DR

This paper investigates the topological structure of Banach spaces over non-Archimedean fields, focusing on homeomorphisms involving products of such fields, to understand their geometric and topological properties.

Contribution

It characterizes homeomorphisms of Banach spaces over non-Archimedean fields with product structures, advancing the understanding of their topological classifications.

Findings

Established conditions for homeomorphisms between these Banach spaces

Described the topological invariants preserved under such homeomorphisms

Provided new insights into the structure of non-Archimedean Banach spaces

Abstract

The article is devoted to topological homeomorphisms of Banach spaces over complete non-Archimedean normed infinite fields with products of copies of the fields.