Sul problema della misura dei gruppi di punti di una retta

Vitali, G. (1905). Sul problema della misura dei gruppi di punti di una retta: Nota.

Retired. This entry was not a citation. Our extractor stored an inline prose definition from the article as though it were a bibliographic record: the title names a concept rather than a published work, and the citation text names no work at all. The page is kept because links to it still resolve, but it is withdrawn from the reference list. This entry is kept so the citations that pointed at it still resolve, and so the correction is visible rather than silent.

Type

Book

Intellectual base

Review or monograph

Year

1905

Link

no authoritative link yet

Cited by

2 citations across 2 artifacts.

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

Domain-specific

• Vitali set
  • A Vitali set selects one point from every class under x~y when x−y is rational, and countably many rational translates force a contradiction with translation-invariant countable additivity.

Mechanisms

• Measurable Family Closure Check
  • It is grounded in a real limit: you genuinely cannot declare every subset measurable and keep additivity, which is why a restricted family is necessary rather than fussy.

    This sourceShows that assigning an additive, translation-invariant measure to every subset of the real line is impossible, necessitating a restricted measurable family.

Verification

Does it exist? Not checked yet. This entry carries no identifier to resolve. It was extracted from the citation as written in the article, normalized, and deduplicated against the rest of the registry.

Does it back the claim? Not recorded. Neither this nor any other of the 2 citations of this work carries a recorded support check.

Was it audited? Yes. A second, independent pass read the citation against the article text and recorded a verdict.

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.

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Links previously used in the corpus

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

• https://books.google.com/books/about/Sul_problema_della_misura_dei_Gruppi_di.html?id=qRiPnQAACAAJ ×1

Registry ID ref:4fb65b6ffbfd · see in the full table