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math.AT2018
A Whitehead theorem for periodic homotopy groups
Tobias Barthel, Gijs Heuts, Lennart Meier
We show that -periodic homotopy groups detect homotopy equivalences between simply-connected finite CW-complexes.
math.AT2018
On the Balmer spectrum for compact Lie groups
Tobias Barthel, J. P. C. Greenlees, Markus Hausmann
We study the Balmer spectrum of the category of finite G-spectra for a compact Lie group G, extending the work for finite G by Strickland, Balmer-Sanders, Barthel-Hausmann-Naumann-…
math.AT2018
Derived completion for comodules
Tobias Barthel, Drew Heard, Gabriel Valenzuela
The objective of this paper is to introduce and study completions and local homology of comodules over Hopf algebroids, extending previous work of Greenlees and May in the discrete…