Sur la non-applicabilité de deux domaines appartenant respectivement à des espaces à n et n+p dimensions

Lebesgue, H. (1911). Sur la non-applicabilité de deux domaines appartenant respectivement à des espaces à n et n+p dimensions. Mathematische Annalen, 166-168.

Type

Journal article

Intellectual base

Primary research

Year

1911

Pages

166-168

DOI

10.1007/bf01461155

DOI registrant

Springer Nature

Link

https://doi.org/10.1007/BF01461155

Cited from

mathematics

Cited by

1 citation across 1 artifact.

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

Primes

• Dimension
  • established that ℝᵐ and ℝⁿ are not homeomorphic for m≠n, making topological dimension a well-defined invariant; Lebesgue's covering dimension

    This sourceIntroduces the covering-dimension definition (dimension as one less than the maximal order of a finite open-cover refinement); companion to Brouwer 1911.

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