right lifting property

1. Definition

Let 20240327-right_lifting_property_760824120891fc757bc0445145b027d09b237baa.svg be a category, 20240327-right_lifting_property_94b04006985db1e2d11f5771ad9971ae9fcebbe1.svg be a subcollection of morphisms and

20240327-right_lifting_property_8d0ece4eac555564c7b1c2eae245c093da7247ba.svg

be morphisms for objects 20240327-right_lifting_property_c81e24099c8ef34434bab8e9a83ba5cbde9e3070.svg.

Then 20240327-right_lifting_property_5461866a7289ba4c56a10a82a5622bfbdcb4ae22.svg has the right lifting property with respect to 20240327-right_lifting_property_220d8e924f00c24ca081146b54609f1a5b829846.svg if for each diagram 20240327-right_lifting_property_30c923dc1dde3b8daaf0738e240eac5d05828e0a.svg

20240327-right_lifting_property_9d18741217beb26158ab304c44ce241dd27dadd8.svg

there exists

20240327-right_lifting_property_b329befebb5eb49f2e452f5ff4e8bd15132aaf7a.svg

Date: nil

Author: Anton Zakrewski

Created: 2024-10-15 Di 23:14