3 papers
math.AT2025
Mackey functors and classical equivariant -theory
Tobias Lenz
We show that the spectral Mackey functors associated to the equivariant algebraic -theory spectra of Guillou-May and Merling (originally constructed using pointset models) can b…
math.CT2025
Revisiting -naturality of the Yoneda embedding
Tobias Lenz
We show that the Yoneda embedding 'is' -natural with respect to the functoriality of presheaves via left Kan extension, refining the -categorical result pro…
math.AT2025
Universality of Barwick's unfurling construction
Bastiaan Cnossen, Tobias Lenz, Maxime Ramzi
Given an -category with pullbacks, its -category of spans has the universal property of freely adding right adjoints…