A note on compactly generated co-t-structures

TL;DR

This paper explores the dual concept of co-t-structures in triangulated categories, establishing analogues of known results for compactly generated t-structures, thereby deepening the theoretical understanding of these structures.

Contribution

It introduces co-t-structure analogues of key results for compactly generated t-structures, highlighting important differences and dualities.

Findings

Established co-t-structure analogues of Beligiannis and Reiten's results

Clarified differences between t-structures and co-t-structures

Enhanced theoretical framework for triangulated categories

Abstract

The idea of a co-t-structure is almost "dual" to that of a t-structure, but with some important differences. This note establishes co-t-structure analogues of Beligiannis and Reiten's corresponding results on compactly generated t-structures.