J 2024

Fibrantly generated weak factorization systems

COX, Sean and Jiří ROSICKÝ

Basic information

Original name

Fibrantly generated weak factorization systems

Authors

COX, Sean and Jiří ROSICKÝ

Edition

Rendiconti del Seminario Matematico della Università di Padova, EMS Press, 2024, 0041-8994

Other information

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10101 Pure mathematics

Country of publisher

Germany

Confidentiality degree

není předmětem státního či obchodního tajemství

References:

Impact factor

Impact factor: 0.300 in 2022

Organization unit

Faculty of Science

Keywords in English

Weak factorization system; fibrantly generated; projectivity class; Vopěnka’s principle; accessible category

Tags

International impact, Reviewed
Změněno: 24/10/2024 15:12, Mgr. Marie Šípková, DiS.

Abstract

V originále

We prove that, assuming Vopěnka’s principle, every small projectivity class in an accessible category is accessible. This conclusion is not provable in ZFC alone, and in fact carries large cardinal strength.

Links

GA22-02964S, research and development project
Name: Obohacené kategorie a jejich aplikace (Acronym: ECATA)
Investor: Czech Science Foundation