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· 2014

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Definable coordinate geometries over fields, part 1: theory

math.LO · 2025-07-14 · accept · novelty 6.0

For finitely field-definable coordinate geometries over ordered fields or fields with more than two elements, a relation is a concept if and only if it is field-definable and invariant under affine automorphisms, so concept inclusion mirrors automorphism group inclusion.

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  • Definable coordinate geometries over fields, part 1: theory math.LO · 2025-07-14 · accept · none · ref 2

    For finitely field-definable coordinate geometries over ordered fields or fields with more than two elements, a relation is a concept if and only if it is field-definable and invariant under affine automorphisms, so concept inclusion mirrors automorphism group inclusion.