Question

Let C be a category. (a) Define what it means for C to be closed under arbitrary products, i.e., define what it means for C to have a product $\prod_{i \in I} A_i$ for every family $(A_i)_{i \in I}$ of objects in C.

          Let C be a category.
(a) Define what it means for C to be closed under arbitrary products, i.e., define what it means for C to have a product $\prod_{i \in I} A_i$ for every family $(A_i)_{i \in I}$ of objects in C.

Let C be a category.
(a) Define what it means for C to be closed under arbitrary products, i.e., define what it means for C to have a product ∏i ∈ I Ai for every family (Ai)i ∈ I of objects in C.

Added by William H.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Mohamed Mohamed

08/29/2021

Step 1

Step 1: A category C is said to be closed under arbitrary products if for every family of objects {A_i} in C, there exists a product object P and projection morphisms π_i : P → A_i such that for any other object X with morphisms f_i : X → A_i, there exists a Show more…

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Let C be a category. Define what it means for C to be closed under arbitrary products, i.e., define what it means for C to have a product for every family of objects in C.