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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.AT2025
Norms in equivariant homotopy theory
Tobias Lenz, Sil Linskens, Phil Pützstück
We show that the -category of normed algebras in genuine -spectra, as introduced by Bachmann-Hoyois, is modelled by strictly commutative algebras in -symmetric spectr…
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…