Foundations of geometry

DOI10.1007/BF00971455zbMath0555.51008OpenAlexW4229999768MaRDI QIDQ5895472

A. D. Alexandroff

Publication date: 1984

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00971455

zbMATH Keywords

axiomatics of Euclidean space

Mathematics Subject Classification ID

Euclidean geometries (general) and generalizations (51M05)

Related Items (7)

A rigidity condition for the boundary of a submanifold in a Riemannian manifold ⋮ Necessary and sufficient conditions for the unique determination of plane domains ⋮ Unique determination of convex polyhedral domains by relative conformal moduli of boundary condensers ⋮ Isometry of polyhedral domains, the boundaries of which are locally isometric in relative metrics ⋮ On isometry of polygonal domains with boundaries locally isometric in relative metrics ⋮ On interrelation between the problem of unique determination of a domain in \(\mathbb{R}^n\) and a problem of recovery of a locally Euclidean metric ⋮ On unique determination of domains in Euclidean spaces

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