Remarks, du côté de chez Tarski, on symmetric ternary relations

Victor Pambuccian

doi:10.1007/s00022-005-0023-z

Remarks, du côté de chez Tarski, on symmetric ternary relations

Victor Pambuccian

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

4 Scopus citations

Abstract

We point out that the results in [12] are the model-theoretic counterpart of results established syntactically in [3] and [10], and that Martin's theorem for the Euclidean 3- or higher-dimensional case, established in [5], does not depend on the Beckman-Quarles theorem, and can be rephrased as a result about axiomatizability and definability.

Original language	English (US)
Pages (from-to)	94-99
Number of pages	6
Journal	Journal of Geometry
Volume	84
Issue number	1-2
DOIs	https://doi.org/10.1007/s00022-005-0023-z
State	Published - Mar 2006

Keywords

Definability
Equilaterality
Euclidean geometry
Pieri's relation

ASJC Scopus subject areas

Geometry and Topology

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10.1007/s00022-005-0023-z

Cite this

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title = "Remarks, du c{\^o}t{\'e} de chez Tarski, on symmetric ternary relations",

abstract = "We point out that the results in [12] are the model-theoretic counterpart of results established syntactically in [3] and [10], and that Martin's theorem for the Euclidean 3- or higher-dimensional case, established in [5], does not depend on the Beckman-Quarles theorem, and can be rephrased as a result about axiomatizability and definability.",

keywords = "Definability, Equilaterality, Euclidean geometry, Pieri's relation",

author = "Victor Pambuccian",

year = "2006",

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AB - We point out that the results in [12] are the model-theoretic counterpart of results established syntactically in [3] and [10], and that Martin's theorem for the Euclidean 3- or higher-dimensional case, established in [5], does not depend on the Beckman-Quarles theorem, and can be rephrased as a result about axiomatizability and definability.

KW - Definability

KW - Equilaterality

KW - Euclidean geometry

KW - Pieri's relation

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ER -

Remarks, du côté de chez Tarski, on symmetric ternary relations

Abstract

Keywords

ASJC Scopus subject areas

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