The category of long exact sequences and the homotopy exact sequence of modules.
The homotopy category of chain complexes is a homotopy category
The shift functor and the comprehensive factorization for internal groupoids
The Taylor spectrum and quotient Banach spaces
Two results of -exangulated categories
M. Herschend, Y. Liu, H. Nakaoka introduced -exangulated categories, which are a simultaneous generalization of -exact categories and -angulated categories. This paper consists of two results on -exangulated categories: (1) we give an equivalent characterization of axiom (EA2); (2) we provide a new way to construct a closed subfunctor of an -exangulated category.