nLab finitely complete (infinity,1)-category

Contents

Contents

Idea

Finitely complete (,1)(\infty,1)-categories are the analog in (∞,1)-category theory of finitely complete categories in category theory.

Definition

Definition

Let 𝒞\mathcal{C} be an (∞,1)-category. This is called a finitely complete (,1)(\infty,1)-category if 𝒞\mathcal{C} has finite (∞,1)-limits, i.e.

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