On M. T. Calapso's characterization of the metric of an absolute plane

Victor Pambuccian; Rolf Struve

doi:10.1007/s00022-008-2034-z

On M. T. Calapso's characterization of the metric of an absolute plane

Victor Pambuccian, Rolf Struve

Humanities, Arts and Cultural Studies, School of (SHARCS)

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

We show that the equivalence of the rectangle existence axiom to an axiom used by Maria Teresa Calapso to characterize the Euclidean metric can be proved inside rather weak, purely metric axiom systems for absolute planes.

Original language	English (US)
Pages (from-to)	105-116
Number of pages	12
Journal	Journal of Geometry
Volume	92
Issue number	1-2
DOIs	https://doi.org/10.1007/s00022-008-2034-z
State	Published - Mar 1 2009

Keywords

Absolute plane
Euclidean metric
Metric plane
Plane with congruence
Rectangle axiom
Wolff plane

ASJC Scopus subject areas

Geometry and Topology

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10.1007/s00022-008-2034-z

Cite this

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abstract = "We show that the equivalence of the rectangle existence axiom to an axiom used by Maria Teresa Calapso to characterize the Euclidean metric can be proved inside rather weak, purely metric axiom systems for absolute planes.",

keywords = "Absolute plane, Euclidean metric, Metric plane, Plane with congruence, Rectangle axiom, Wolff plane",

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KW - Metric plane

KW - Plane with congruence

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On M. T. Calapso's characterization of the metric of an absolute plane

Abstract

Keywords

ASJC Scopus subject areas

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