Banakh spaces are metric spaces where spheres have cardinality 2 and diameter 2r; the paper characterizes those isometric to real-line subgroups and constructs non-embeddable examples with prescribed distance sets.
Ivan Franko National University of L viv (Ukraine), and Jan Koch anowski University in Kielce (Poland) Email address : t.o.banakh@gmail.com
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Banakh spaces and their geometry
Banakh spaces are metric spaces where spheres have cardinality 2 and diameter 2r; the paper characterizes those isometric to real-line subgroups and constructs non-embeddable examples with prescribed distance sets.