Goodness in $n$-angulated categories

Abstract

We generalise the notions of good, middling good, and Verdier good morphisms of distinguished triangles in triangulated categories, first introduced by Neeman, to the setting of $n$-angulated categories, introduced in Geiss, Keller, and Oppermann. We then prove that all morphisms of $n$-angles in an $(n-2)$-cluster tilting $n$-angulated category are middling good for $n>3$.