Countable partitions of Euclidean space

DOI10.1017/S0305004100074612zbMath0887.51013OpenAlexW2054975642MaRDI QIDQ4885203

James H. Schmerl

Publication date: 14 May 1998

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004100074612

zbMATH Keywords

Euclidean Ramsey theoryisoceles triangle

Mathematics Subject Classification ID

Ramsey theory (05D10) Euclidean geometries (general) and generalizations (51M05)

Related Items (8)

An improvement to ``A note on Euclidean Ramsey theory ⋮ A generalization of Sierpiński's paradoxical decompositions: Coloring semialgebraic grids ⋮ DECIDING THE CHROMATIC NUMBERS OF ALGEBRAIC HYPERGRAPHS ⋮ Chromatic numbers of algebraic hypergraphs ⋮ Coloring ${\mathbb R}^n$ ⋮ Avoidable algebraic subsets of Euclidean space ⋮ Some algebraic equivalent forms of $\mathbb {R}\subseteq L$ ⋮ GRAPHS ON EUCLIDEAN SPACES DEFINED USING TRANSCENDENTAL DISTANCES

Cites Work

• Unnamed Item
• Countable decompositions of \({\mathbb{R}}^2\) and \({\mathbb{R}}^3\)
• Problems and results in discrete mathematics
• Tetrahedron Free Decomposition of R³
• A Decomposition Theorem for R n
• Triangle-Free Partitions of Euclidean Space
• Partitioning Euclidean space

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