$S$-colocalization and Adams cocompletion

• Date: 2023
• Main Authors: Choudhury, Snigdha Bharati, Behera, A.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2023
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/916
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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 $S.$