CACrown ArchivesThe cinema collection
EN/FR
Search
Menu
Research dossier · General Reference

Finite intersection property

Property in general topology

Cross-disciplinary reference desk with index cards, atlas, dictionary and catalogue
General referenceInterpretive dossier study · Crown Archives visual atlas
Record originEnglish Wikipedia
Text licenseCC BY-SA 4.0
Source revisionSep 20, 2026
Entity authoritySource title only
Source-derived summary

In general topology, a branch of mathematics, a family of subsets of a set is said to have the finite intersection property (FIP) if any finite subfamily of has non-empty intersection. It has the strong finite intersection property (SFIP) if any finite subfamily has infinite intersection. Sets with the finite intersection property are also called centered systems and filter subbases.

Editorial summary

“Finite intersection property” enters the record as property in general topology. Crown Archives preserves that source wording while asking what Finite, intersection and property can confirm, complicate or overturn.

Editorial reviewA practical starting point whose main value is the path it opens into stronger specialist and primary sources. The current 60-word lead offers orientation but no explicit four-digit date, so chronology should not be assumed. The selected authority fields contribute no independent date. Its strongest next move is a source search built around Finite, intersection and property.
Editorial analysis

Why this record matters

“Finite intersection property” is worth following because a concise public description often conceals a longer documentary argument. Here, Finite, intersection and property provides the most credible route into that argument.

Evidence profile

Vocabulary and entity names are the principal evidence signals here, because they determine the precision of every later search. The source revision retrieved here is dated Sep 20, 2026.

Critical limits

A concise general-reference account can conceal disagreements about scope, terminology or the weight assigned to individual sources. The lead is largely declarative, so disagreement and counter-evidence require a deliberate search beyond the opening account. Authority statements aid reconciliation but still require their own references, qualifiers and ranks to be checked.

How to read it

Use the entry as an orientation point, then follow its citations and revision history. Names, dates and institutional relationships should be checked against the original record.

Best used for
  • Subject orientation
  • Search vocabulary
  • Locating named sources
Verify next

The closest primary source, responsible institution and strongest cited specialist reference.

Three-step research path

  1. Establish the record: confirm the title “Finite intersection property”, its source revision and the description used here.
  2. Expand the search: follow Finite intersection property primary sources, Finite intersection property archive and Finite research across catalogues and specialist indexes.
  3. Test the account: compare the strongest cited source with the responsible institution’s current record and note any disagreement.

Questions for further research

  1. Which source most directly establishes the central claim about “Finite intersection property”?
  2. Which institution is responsible for the underlying evidence?
  3. What terminology or title could unlock a more precise catalogue search?
Subject index

Search terms from this dossier

Source & attribution

This entry incorporates text from “Finite intersection property” on English Wikipedia. Contributors are listed in the page history. Text is available under the Creative Commons Attribution-ShareAlike 4.0 License. Selected authority identifiers and statements are retrieved from Wikidata under CC0; their references and qualifiers remain part of the verification path.