An embedding theorem for certain spaces with an equidistant property

Nadler, Sam B.

doi:10.1090/S0002-9939-1976-0410686-X

An embedding theorem for certain spaces with an equidistant property
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Proc. Amer. Math. Soc. 59 (1976), 179-183 Request permission

Abstract:

It is shown that certain metric spaces with the unique equidistant property can be topologically embedded in the real line. Several examples are given which show that the spaces considered are nontrivial, and which indicate that the technique of proof is necessary.

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