Sur l'opération Ā de l'Analysis Situs

Kuratowski. (1922). Sur l'opération Ā de l'Analysis Situs. Fundamenta Mathematicae, 3(1), 182-199.

Type

Journal article

Intellectual base

Primary research

Year

1922

Volume

3

Issue

1

Pages

182-199

DOI

10.4064/fm-3-1-182-199

DOI registrant

Institute of Mathematics, Polish Academy of Sciences

Link

https://eudml.org/doc/213290

Cited from

mathematics

Cited by

2 citations across 2 artifacts.

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.

Domain-specific

• Interior
  • These axioms characterize a topology: specifying an interior operator satisfying them is equivalent to specifying the collection of open sets

    Supported in partVerified against a saved copy of the source

    “On montre aisément que les énoncés suivantes subsistent: I bar(A+B) = Ā + bar(B) II A ⊂ Ā III bar(0) = 0 IV bar(Ā) = Ā”

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

Verification

Does it exist? Not checked yet. This work's DOI is recorded above but has not been resolved against an external catalogue, so nothing here confirms the work exists.

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.

Support is checked per citation rather than per work — the same source can be cited soundly in one article and wrongly in another. Per-citation recording began recently, so a citation with no recorded check is a gap in the record rather than evidence it went unchecked.

See how references were verified.

Links previously used in the corpus

Before the registry existed this work was also linked 1 other way.

• https://doi.org/10.4064/fm-3-1-182-199 ×1

Registry ID ref:88842f7c0f72 · see in the full table