limit (category theory)

1. Definition

Let 20230725-limit_category_theory_760824120891fc757bc0445145b027d09b237baa.svg be a category and 20230725-limit_category_theory_5fb21bbb3e6d500cb05b7b4138ea4b730abcde3a.svg a diagram. A limit of 20230725-limit_category_theory_9baccb33afa7379190e08364e58eb8a5ff49be26.svg is a cone 20230725-limit_category_theory_7bcfe625598b3a35dfac36e0f6d90f974d973fc5.svg such that for every other cone 20230725-limit_category_theory_4b8f1cc1d2e85b650545cf290914a5513c1b8d89.svg there exists an unique morphism 20230725-limit_category_theory_62be2fb4f8551bddd7316cbd46233a29dd3f90ce.svg such that following diagram commutes:

20230725-limit_category_theory_0274cd0a6325e39fbb5dc21b418d60a27a28c3c5.svg

Date: nil

Author: Anton Zakrewski

Created: 2024-10-13 So 15:25