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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

An embedding theorem for certain spaces with an equidistant property


Author: Sam B. Nadler
Journal: Proc. Amer. Math. Soc. 59 (1976), 179-183
MSC: Primary 54E35
DOI: https://doi.org/10.1090/S0002-9939-1976-0410686-X
MathSciNet review: 0410686
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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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DOI: https://doi.org/10.1090/S0002-9939-1976-0410686-X
Keywords: Dimension, locally compact, one-point compactification, separability, totally-disconnected
Article copyright: © Copyright 1976 American Mathematical Society

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