Limits RegistryPUBLIC RECORDLimits RegistryResearch Console →N Euclidean points admit a low-dimensional embedding preserving all pairwise distances within 1±epsilon.
The question, scope, and sources behind this Registry record.
Upper-bound dimension sufficient to embed any N-point subset of Euclidean space with multiplicative squared-distance distortion epsilon.
Current frontiers derived from accepted Claims.
Assertions tied to evidence, attribution, and review.
The frontier as it changed over time.
Only accepted Claims matching the current specification contribute to the displayed bounds. Strict inequalities remain open; contradictory Claims require editorial review.
Limits Registry. LR-003413. Johnson–Lindenstrauss embedding dimension. 2026.