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Barbilian spaces: the history of a geometric idea - MaRDI portal

Barbilian spaces: the history of a geometric idea (Q997158)

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scientific article; zbMATH DE number 5173603
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Barbilian spaces: the history of a geometric idea
scientific article; zbMATH DE number 5173603

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    Barbilian spaces: the history of a geometric idea (English)
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    23 July 2007
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    Dan Barbilian (1895--1961) was both a poet and a mathematician. His mathematical papers are scarce (the article mentions 9, of which 6 are in Romanian) but one from 1934 has caught some attention. Referring to the Klein-Beltrami model of plane hyperbolic geometry, he defined in it a certain class of metric spaces, now named after him, and this article offers a ``chronological clarification'' of event which led to the recently increased interest in Barbilian's invention.
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    hyperbolic geometry
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    non-Euclidean geometry
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    Barbilian spaces
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    Barbilian's metrization procedure
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