In mathematics, especially category theory, Joyal's theta category Θ {\displaystyle \Theta } is an alternative to the simplex category Δ {\displaystyle \Delta } . It was introduced by André Joyal to give a definition of an ∞-category using Θ {\displaystyle \Theta } -sets = presheaves on Θ {\displaystyle \Theta } instead of simplicial sets = presheaves on Δ {\displaystyle \Delta } .
In mathematics, especially category theory, Joyal's theta category Θ {\displaystyle \Theta } is an alternative to the simplex category Δ {\displaystyle \Delta } . It was introduced by André Joyal to give a definition of an ∞-category using Θ {\displaystyle \Theta } -sets = presheaves on Θ {\displaystyle \Theta } instead of simplicial sets = presheaves on Δ {\displaystyle \Delta } .
Source: Wikipedia "Joyal's theta category" · CC BY-SA 4.0
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