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math.AT2025
Poincaré-Birkhoff-Witt Theorems in Higher Algebra
Omar Antolín-Camarena, Lukas Brantner, Gijs Heuts
We extend the classical Poincaré-Birkhoff-Witt theorem to higher algebra by establishing a version that applies to spectral Lie algebras. We deduce this statement from a basic rela…
math.AT2016
The -periodic Goodwillie tower on Wedges and Cofibres
Lukas Brantner, Gijs Heuts
We introduce general methods to analyse the Goodwillie tower of the identity functor on a wedge of spaces (using the Hilton-Milnor theorem) and on the cofibre $\mathrm{c…