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math.AT2017
Chromatic homotopy theory is asymptotically algebraic
Tobias Barthel, Tomer Schlank, Nathaniel Stapleton
Inspired by the Ax--Kochen isomorphism theorem, we develop a notion of categorical ultraproducts to capture the generic behavior of an infinite collection of mathematical objects.…
math.AT2017
A formula for -completion by way of the Segal conjecture
Sune Precht Reeh, Tomer M. Schlank, Nathaniel Stapleton
The Segal conjecture describes stable maps between classifying spaces in terms of (virtual) bisets for the finite groups in question. Along these lines, we give an algebraic formul…