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 (203 Czech Republic, belonging to the institution)

Edition

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

Other information

Language

English

Type of outcome

Article in a journal

Field of Study

10101 Pure mathematics

Country of publisher

Germany

Confidentiality degree

is not subject to a state or trade secret

References:

Impact factor

Impact factor: 0.500 in 2023

Organization unit

Faculty of Science

UT WoS

001301684300007

Keywords in English

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

Tags

Tags

International impact, Reviewed
Changed: 11/12/2024 13:38, Mgr. Marie Novosadová 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