Work

Cocompletion under sifted colimits need not be finitely accessible

Year: 2026

Type: preprint

Abstract: We give a negative answer to the open problem posed by Adámek and Rosický in 2001, asking whether the cocompletion of any small category under sifted colimits is finitely accessible. We will construct an infinite family of counterexamples.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.08548

Author: Kawase, Yuto

Institution: Research Institute for Mathematical Sciences, Kyoto University

Language: English

Topic: Homotopy and Cohomology in Algebraic Topology

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Japan Society for the Promotion of Science

OpenAlex ID: W7221017753

Cites: 6

Cited by:

Related to: 10