$S$-colocalization and Adams cocompletion

Snigdha Bharati Choudhury; A. Behera

doi:10.3842/umzh.v75i8.916

Snigdha Bharati Choudhury Harish-Chandra Research Institute, Chhatnag Road, Jhunsi, Prayagraj (Allahabad), India https://orcid.org/0000-0002-5112-7832
A. Behera Department of Mathematics, National Institute of Technology Rourkela, India https://orcid.org/0000-0003-2079-7849

DOI: https://doi.org/10.3842/umzh.v75i8.916

Keywords: $S$-COLOCALIZATION

Abstract

UDC 512

A relationship between the $S$-colocalization of an object and the Adams cocompletion of the same object in a complete small $\mathscr{U}$-category ($\mathscr{U}$ is a fixed Grothendieck universe) is established, together with a specific set of morphisms $S.$

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