Small object arguments, plus-construction, and left-exact localizations

Autor:	Anel, Mathieu, Subramaniam, Chaitanya Leena
Rok vydání:	2020
Předmět:	Mathematics - Category Theory
Druh dokumentu:	Working Paper
Popis:	We present a variant of the small object argument, inspired by Kelly, better suited to construct unique factorisation systems. Our main result is to compare it to the plus-construction involved in sheafification. We apply this to construct localizations, modalities and left-exact localizations explicitly from generators. Comment: v2. Add a couple of examples
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2004.00731 Zobrazit plný text záznamu View this record from Arxiv