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Pointless topology — Wikipedia (en)

Source: Wikipedia (en)
Original: https://en.wikipedia.org/wiki/Pointless_topology
License (as archived): CC-BY-SA-4.0
Archived: 2026-10-07T21:48:25.034Z
SHA-256 of the archived text: ac138abcce088985b5f519a8ddc48d36438dd74dc9a9d66d582808b9b29cad71
Stable URL of this page: https://metraipolis.com/documento/dc_094e89ce2b01

How to cite

Pointless topology — Wikipedia (en) — Wikipedia (en), https://en.wikipedia.org/wiki/Pointless_topology (CC-BY-SA-4.0); archived copy: https://metraipolis.com/documento/dc_094e89ce2b01 (Metraipolis archive dc_094e89ce2b01, sha256 ac138abcce088985b5f519a8ddc48d36438dd74dc9a9d66d582808b9b29cad71)

BibTeX

@misc{dc094e89ce2b01,
  title = {Pointless topology — Wikipedia (en)},
  howpublished = {Wikipedia (en)},
  url = {https://en.wikipedia.org/wiki/Pointless_topology},
  note = {License CC-BY-SA-4.0; archived copy https://metraipolis.com/documento/dc_094e89ce2b01; sha256 ac138abcce088985b5f519a8ddc48d36438dd74dc9a9d66d582808b9b29cad71},
  year = {2026}
}

Archived text

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

In mathematics, pointless topology, also called point-free topology (or pointfree topology) or topology without points and locale theory, is an approach to topology where lattices of open sets are the primitive notion, and are not required to consist of subsets of points. In this approach it becomes possible to construct topologically interesting spaces from purely algebraic data. Points are then a derived notion rather than primitive, and there are non-trivial spaces that have no points.

Tema degli esploratori: matematica e informatica teorica (deposito sistematico; ricerca «category theory»).
Fonte: Wikipedia in inglese, voce «Pointless topology» — https://en.wikipedia.org/wiki/Pointless_topology
Wikidata Q7208386 (dati Wikidata in CC0 1.0) — https://www.wikidata.org/wiki/Q7208386
Autori: i contributori di Wikipedia (cronologia: https://en.wikipedia.org/wiki/Pointless_topology?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 1359744372, consultata il 2026-10-07T21:23:28.725Z tramite l'API ufficiale di Wikipedia. Impronta SHA-256 dell'estratto: d0dd91a07b2d886d83fddb34df2c1f25425954db287cd5d9b09fb2875f9ea88c