Sur l'opération \(\overline{A}\) de l'Analysis Situs¶
Kuratowski, K. (1922). Sur l'opération $\overline{A}$ de l'Analysis Situs. Fundamenta Mathematicae, 3(1), 182-199.
Cited by¶
1 citation across 1 artifact.
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Primes¶
- Closure
- Each successive structure layers further axioms onto a closed-under-operations carrier, and the closure axiom is what makes "iterate the operation and stay in the structure" a theorem rather than a wish, as Dummit and Foote (2003) develop in their canonical undergraduate treatment of the algebraic-structures pyramid.
This sourceMath. 3, 76–108), which is the Kuratowski–Zorn lemma, NOT the closure axioms the prose cites.
- Each successive structure layers further axioms onto a closed-under-operations carrier, and the closure axiom is what makes "iterate the operation and stay in the structure" a theorem rather than a wish, as Dummit and Foote (2003) develop in their canonical undergraduate treatment of the algebraic-structures pyramid.
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