The History of Barbilian's Metrization Procedure

Details The History of Barbilian's Metrization Procedure The History of Barbilian's Metrization Procedure

2006-07-05

arxiv.org/abs/math/0607106v1

Mathematics

History and Overview

The present document is an updated version of the material presented on April 17, 2005, in the AMS Special Session on History

Scientific paper

Barbilian spaces are metric spaces with a metric induced by a special procedure of metrization which is inspired by the study of the models of non-Euclidean geometry. In the present material we discuss the history of Barbilian spaces and the evolution of the theory. We point out that some of the current references to the work done in Barbilian spaces refer to Barbilian's contribution from 1934, while his construction has been largely extended in four works published in Romanian in 1959-1962.

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