--- aliases: ["quasicategories"] --- - A model for [infinity categories](infinity categories.md). - [simplicial set](simplicial set.md) satisfying the weak Kan condition: inner horns admit some filler. - An ordinary category is a simplicial set in which every inner horn admits a *unique* filler. - See Joyal model structure ![](attachments/Pasted image 20210516135624.png)