This content was extracted from Wikipedia and is licensed under the Creative Commons Attribution-ShareAlike 3.0 Unported License
In mathematics, a Segal space is a simplicial space satisfying some pullback conditions, making it look like a homotopical version of a category. More precisely, a simplicial set, considered as a simplicial discrete space, satisfies the Segal conditions iff it is the nerve of a category. The condition for Segal spaces is a homotopical version of this. Complete Segal spaces were introduced by as models for (∞, 1)-categories.
| Property | Value |
|---|---|
| dbo:abstract |
|
| dbo:wikiPageID |
|
| dbo:wikiPageLength |
|
| dbo:wikiPageRevisionID |
|
| dbo:wikiPageWikiLink | |
| dbp:id |
|
| dbp:title |
|
| dbp:wikiPageUsesTemplate | |
| dcterms:subject | |
| gold:hypernym | |
| rdf:type | |
| rdfs:comment |
|
| rdfs:label |
|
| owl:sameAs | |
| prov:wasDerivedFrom | |
| foaf:isPrimaryTopicOf | |
| is dbo:wikiPageDisambiguates of | |
| is dbo:wikiPageRedirects of | |
| is dbo:wikiPageWikiLink of | |
| is foaf:primaryTopic of |