colimit

1. Definition

A colimit is a limit in the opposite category

2. Explizit

Let 20230725-colimit_985b96adbc801fbbbe00ac354f4e5f9fa2a8c5dd.svg be a category and 20230725-colimit_dde4a437b05b7b15ad7fdde85597a75346ebbd3e.svg a diagram. A limit of 20230725-colimit_8db1b67f65517355dbcca3b0f7e89de4115c9be8.svg is a cocone 20230725-colimit_cc999fc18a073123e7031e03d86d83d1b8b9432b.svg such that for every other cocone 20230725-colimit_952204adacb42d2a6dec93ab9542b543ea5fdcad.svg there exists an unique morphism 20230725-colimit_84395552324289ed4a9ab518813053b512fef743.svg such that following diagram commutes:

20230725-colimit_01cee0db135b653727220a5b1469cf795f5b7207.svg

Date: nil

Author: Anton Zakrewski

Created: 2024-10-21 Mo 09:56