Floppy graph metrics with countably many missing edges can be extended to full metrics by choosing lengths from dense subsets of positive reals in the interval between one-third check d plus two-thirds hat d and hat d.
Engelking, General Topology, Heldermann Verlag, Berlin
2 Pith papers cite this work. Polarity classification is still indexing.
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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.
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Game extensions of floppy graph metrics
Floppy graph metrics with countably many missing edges can be extended to full metrics by choosing lengths from dense subsets of positive reals in the interval between one-third check d plus two-thirds hat d and hat d.
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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.