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Théorie des Ensembles

Bourbaki, N. (1958). Théorie des Ensembles. Éléments de Mathématique.

Type
Book
Intellectual base
Review or monograph
Year
1958
DOI
10.1007/978-3-540-34035-5
ISBN
9783540340348
DOI registrant
Springer Nature
Link
https://link.springer.com/book/10.1007/978-3-540-34035-5
Cited from
mathematics

Cited by

2 citations across 2 artifacts.

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

Primes

  • Associativity
    • Bourbaki (1942+) systematized the formal exposition of associativity across abstract algebraic structures in Éléments de Mathématique.

      This sourceThe 'Structures' chapter systematizes the structural (axiomatic) exposition of algebraic laws including associativity across abstract structures; Verified.

      Supported in partVerified against the work's full text

      The Bourbaki archive's account of Éléments de Mathématique confirms the series unifies set theory, algebra and topology through shared "structures", but it never mentions associativity.

      “La première partie, sous-titrée Structures fondamentales de l’analyse , répond directement à l’idée du nouveau traité d’analyse et regroupe des volumes sur la Théorie des ensembles , l’ Algèbre , la Topologie générale , les Fonctions d’une variable réelle , les Espaces vectoriels topologiques et la Théorie de l’intégration , dont les contenus sont organiquement reliés par les "structures" que partagent ces domaines.”

      From the work's full text.

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

  • Commutativity

    • This sourceFormal exposition of associativity in abstract algebraic structures.

Verification

Does it exist? Confirmed. This work's DOI resolves to a registered record, which fixes its identity. That is all it fixes.

Does it back the claim? Read against the text for 1 of 2 citations: 1 supported in part. Each verdict is shown under its citation below, with what in the work backs the sentence.

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See how references were verified.

Registry ID ref:5111f16d58e9 · see in the full table