Brown可表示定理及其应用

Brown representability theorems with applications

这篇综述从背景、证明方法和应用三方面,为Brown可表示定理及其对偶提供一个易于理解的版本;并通过Serre函子给出紧生成三角范畴之间伴随对的一种三分法.

The main aim of this survey is to provide an easy and comprehensive version of the Brown representability theorem and its dual; and to give a trichotomy of adjoint pairs between compactly generated triangulated categories, whose subcategories of compact objects have Serre functors.