IMPORTANT NOTICE

The AMS website will be down for maintenance on May 23 between 6:00am - 8:00am EDT. For questions please contact AMS Customer Service at cust-serv@ams.org or (800) 321-4267 (U.S. & Canada), (401) 455-4000 (Worldwide).

 

Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

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

 
 

 

Metric transforms and the hyperbolic four-point property


Authors: Joseph E. Valentine and Stanley G. Wayment
Journal: Proc. Amer. Math. Soc. 31 (1972), 232-234
DOI: https://doi.org/10.1090/S0002-9939-1972-0290254-X
MathSciNet review: 0290254
Full-text PDF

Abstract | References | Additional Information

Abstract: The purpose of this paper is to show that any metric space is homeomorphic to a metric space with each quadruple of its points congruently imbeddable in three-dimensional hyperbolic space.


References [Enhancements On Off] (What's this?)


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1972-0290254-X
Keywords: Cayley-Menger determinant, euclidean four-point property, hyperbolic four-point property, metric transform
Article copyright: © Copyright 1972 American Mathematical Society

American Mathematical Society