Sur une courbe, qui remplit toute une aire plane¶
Peano, G. (1890). Sur une courbe, qui remplit toute une aire plane. Mathematische Annalen, 157-160.
Cited by¶
1 citation across 1 artifact.
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Primes¶
- Dimension
- … small inductive dimension (ind X) defines dimension recursively via the dimension of boundaries of small neighborhoods; Urysohn's 1925 dimension theory of separable metric spaces proved the equivalence of small inductive, large inductive, and covering dimensions for that class; Peano's 1890 space-filling curve
This sourceConstructs a continuous surjection from the unit interval onto the unit square, forcing the refinement of 'dimension' beyond naive set-theoretic / cardinality counts. Cited inline to support the space-filling-curve point; verified.
- … small inductive dimension (ind X) defines dimension recursively via the dimension of boundaries of small neighborhoods; Urysohn's 1925 dimension theory of separable metric spaces proved the equivalence of small inductive, large inductive, and covering dimensions for that class; Peano's 1890 space-filling curve
Verification¶
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Registry ID ref:a1482777b388 · see in the full table