The History of Barbilian's Metrization Procedure
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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.
The present document is an updated version of the material presented on April 17, 2005, in the AMS Special Session on History of Mathematics, AMS Sectional Conference # 1007, abstract # 1007-01-39, Santa Barbara, California. A different material on the same theme, entitled "Barbilian Spaces: The History of a Geometric Idea", will appear in Historia Mathematica
The present document is an updated version of the material presented on April 17, 2005, in the AMS Special Session on History of Mathematics, AMS Sectional Conference # 1007, abstract # 1007-01-39, Santa Barbara, California. A different material on the same theme, entitled "Barbilian Spaces: The History of a Geometric Idea", will appear in Historia Mathematica