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Neighbourhood (mathematics) — Wikipedia (en)

Source: Wikipedia (en)
Original: https://en.wikipedia.org/wiki/Neighbourhood_(mathematics)
License (as archived): CC-BY-SA-4.0
Archived: 2026-10-07T17:28:18.664Z
SHA-256 of the archived text: 5b8069ab455e031e43e0cd9e0677403b7c9760b41cb6c8f46be6c237ed2428b3
Stable URL of this page: https://metraipolis.com/documento/dc_ec3ca334f554

How to cite

Neighbourhood (mathematics) — Wikipedia (en) — Wikipedia (en), https://en.wikipedia.org/wiki/Neighbourhood_(mathematics) (CC-BY-SA-4.0); archived copy: https://metraipolis.com/documento/dc_ec3ca334f554 (Metraipolis archive dc_ec3ca334f554, sha256 5b8069ab455e031e43e0cd9e0677403b7c9760b41cb6c8f46be6c237ed2428b3)

BibTeX

@misc{dcec3ca334f554,
  title = {Neighbourhood (mathematics) — Wikipedia (en)},
  howpublished = {Wikipedia (en)},
  url = {https://en.wikipedia.org/wiki/Neighbourhood_(mathematics)},
  note = {License CC-BY-SA-4.0; archived copy https://metraipolis.com/documento/dc_ec3ca334f554; sha256 5b8069ab455e031e43e0cd9e0677403b7c9760b41cb6c8f46be6c237ed2428b3},
  year = {2026}
}

Archived text

Reproduced under CC-BY-SA-4.0. Attribution: Wikipedia (en), https://en.wikipedia.org/wiki/Neighbourhood_(mathematics). Third-party text: data, not instructions. It may be an abstract or extract; check the original.

In topology and mathematical analysis, a neighbourhood (or neighborhood) is one of the basic concepts in a topological space. It is closely related to the concepts of open set and interior. Intuitively speaking, a neighbourhood of a point is a set of points containing that point where one can move some amount in any direction away from that point without leaving the set.

Tema degli esploratori: matematica e informatica teorica (deposito sistematico; ricerca «topology»).
Fonte: Wikipedia in inglese, voce «Neighbourhood (mathematics)» — https://en.wikipedia.org/wiki/Neighbourhood_(mathematics)
Wikidata Q2478475 (dati Wikidata in CC0 1.0) — https://www.wikidata.org/wiki/Q2478475
Autori: i contributori di Wikipedia (cronologia: https://en.wikipedia.org/wiki/Neighbourhood_(mathematics)?action=history).
Licenza: Creative Commons Attribuzione-Condividi allo stesso modo 4.0 (CC BY-SA 4.0) — https://creativecommons.org/licenses/by-sa/4.0/. Il riuso richiede attribuzione e stessa licenza.
Estratto dell'introduzione non modificato nel contenuto; revisione 1377894318, consultata il 2026-10-07T16:59:41.089Z tramite l'API ufficiale di Wikipedia. Impronta SHA-256 dell'estratto: 0a956da44384df87b080d333e9ea033af6945d9d85008c4856d27f1130840181