Category: SSet

SSet is the category whose objects are simplicial sets and arrows are simplicial maps.

Facts Derived from Enrichment

SSet is a closed category (enriched in itself).

SSet has Quillen model structure for an (∞,1)-category (enriched in SSet).

Notable Subcategories

• Cat (reflection)
• SAb (Abelian groups)
• SGrp (groups)
• SLieAlg_k (Lie algebras)
• SRing (rings)

Limits

Has all finite products

Colimits

Has an initial object

categories: SSet

This data as json

Links from other tables

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