Mémoire sur les multiplicités cantoriennes

Urysohn, P. (1925). Mémoire sur les multiplicités cantoriennes. Fundamenta Mathematicae, 30-137.

Type

Journal article

Intellectual base

Primary research

Year

1925

Pages

30-137

Link

https://eudml.org/doc/214870

Cited from

mathematics

Cited by

1 citation across 1 artifact.

Each citation links to the sentence it supports in the citing article.

Primes

• Dimension
  • defines dimension recursively via the dimension of boundaries of small neighborhoods; Urysohn's 1925 dimension theory of separable metric spaces

    This sourceFounding treatise on dimension theory of separable metric spaces; proves the inductive definition is fruitful and (with later work) the equivalence of small inductive, large inductive, and covering dimensions for that class.

    Supported in partVerified against the work's full text

    Held in full, Urysohn's 1925 memoir treats dimension of closed sets and G_δ sets in n-dimensional space, backing its identity as the founding dimension theory of separable metric spaces.

    “⊃ F_m ⊃ ... une suite décroissante d'ensemble fermes possédant tous la même dimension n. Quelle est la condition nécessaire et suffisante pour que la produit F_ω de tous les ensembles F_m soit encore de dimension n?”

    Read by an automated reader; not a human review. How support was checked

Verification

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