Subobject

1. Definition

Let 20230911-subobject_760824120891fc757bc0445145b027d09b237baa.svg be a category and 20230911-subobject_925e403e9996479c296d38d7b008fe7338518037.svg. A subobject of 20230911-subobject_9c8bdb9f6ad11c13881249483fa93b024273b477.svg is an equivalence class 20230911-subobject_0fe69521a0850e7f2b8e801acd33e0544846d1f5.svg of an object 20230911-subobject_b849081f42f213d2e95cce8cf89d91671bd573de.svg with a monomorphism 20230911-subobject_7e1506579e19f8b6b16246ed5fa1accc982c6aed.svg such that

20230911-subobject_e9b136213c58ec774ae9665d621e60d46ff3e584.svg

if and only if there exists an isomorphism making

20230911-subobject_69d4c79e78e00cba7a68e2f7445ddb35f7e9aa52.svg

commute

Date: nil

Author: Anton Zakrewski

Created: 2024-10-13 So 18:20