2 papers
math.AT2026
On the universality of multiexcisive functors
Tobias Barthel, Kaif Hilman, Nikolay Konovalov
We provide a multiplicative classification of polynomial endofunctors on spectra in terms of their Mackey functors of cross--effects. More precisely, we prove that various categori…
math.CT2026
Homological stratification and descent
Tobias Barthel, Drew Heard, Beren Sanders +1
We introduce a notion of stratification for rigidly-compactly generated tensor-triangulated categories relative to the homological spectrum and develop the fundamental features of…