4 papers
Higher symmetries in abstract stable homotopy theories
Moritz Groth, Moritz Rahn
This survey offers an overview of an on-going project on uniform symmetries in abstract stable homotopy theories. This project has calculational, foundational, and representation-t…
Abstract cubical homotopy theory
Falk Beckert, Moritz Groth
Triangulations and higher triangulations axiomatize the calculus of derived cokernels when applied to strings of composable morphisms. While there are no cubical versions of (highe…
Characterizations of abstract stable homotopy theories
Moritz Groth
In this paper we establish new characterizations of stable derivators, thereby obtaining additional interpretations of the passage from (pointed) topological spaces to spectra and,…
Revisiting the canonicity of canonical triangulations
Moritz Groth
Stable derivators provide an enhancement of triangulated categories as is indicated by the existence of canonical triangulations. In this paper we show that exact morphisms of stab…