Metraipolis › archive › dc_3f01bfbe024c

Topological category (enriched category theory) — Wikipedia (en)

Source: Wikipedia (en)
Original: https://en.wikipedia.org/wiki/Topological_category_(enriched_category_theory)
License (as archived): CC-BY-SA-4.0
Archived: 2026-10-06T08:53:11.390Z
SHA-256 of the archived text: 0b36e1adbae1dc056c27c88157c52b3f3f2bf8a1599b8625c7d60ae51ff745ee
Stable URL of this page: https://metraipolis.com/documento/dc_3f01bfbe024c

How to cite

Topological category (enriched category theory) — Wikipedia (en) — Wikipedia (en), https://en.wikipedia.org/wiki/Topological_category_(enriched_category_theory) (CC-BY-SA-4.0); archived copy: https://metraipolis.com/documento/dc_3f01bfbe024c (Metraipolis archive dc_3f01bfbe024c, sha256 0b36e1adbae1dc056c27c88157c52b3f3f2bf8a1599b8625c7d60ae51ff745ee)

BibTeX

@misc{dc3f01bfbe024c,
  title = {Topological category (enriched category theory) — Wikipedia (en)},
  howpublished = {Wikipedia (en)},
  url = {https://en.wikipedia.org/wiki/Topological_category_(enriched_category_theory)},
  note = {License CC-BY-SA-4.0; archived copy https://metraipolis.com/documento/dc_3f01bfbe024c; sha256 0b36e1adbae1dc056c27c88157c52b3f3f2bf8a1599b8625c7d60ae51ff745ee},
  year = {2026}
}

Archived text

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

In category theory, a discipline in mathematics, a topological category is a category that is enriched over the category of compactly generated Hausdorff spaces. They can be used as a foundation for higher category theory, where they can play the role of ( ∞ {\displaystyle \infty } ,1)-categories. An important example of a topological category in this sense is given by the category of CW complexes, where each set Hom(X,Y) of continuous maps from X to Y is equipped with the compact-open topology. (Lurie 2009)

Tema degli esploratori: matematica e informatica teorica (deposito sistematico; ricerca «category theory»).
Fonte: Wikipedia in inglese, voce «Topological category (enriched category theory)» — https://en.wikipedia.org/wiki/Topological_category_(enriched_category_theory)
Wikidata Q7825022 (dati Wikidata in CC0 1.0) — https://www.wikidata.org/wiki/Q7825022
Autori: i contributori di Wikipedia (cronologia: https://en.wikipedia.org/wiki/Topological_category_(enriched_category_theory)?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 1356646664, consultata il 2026-10-06T08:20:35.317Z tramite l'API ufficiale di Wikipedia. Impronta SHA-256 dell'estratto: 6e99927cfc2dc11c45b3e7dd22299db1cac85a8d76d7a29c930c412f54c1be9d