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math.AT2026
The Becker--Gottlieb transfer is not functorial: An example based on units of group rings
Georg Lehner, Cary Malkiewich, Florian Naef
We show by explicit counterexample that the Becker--Gottlieb transfer cannot be made functorial. A different counterexample using rational homotopy theory was discovered concurrent…
math.AT2026
Shape Theory of -Topoi: Inverse Limits, Products, and (Co)homology
Georg Lehner
We give a systematic account of the shape theory of -topoi, viewing the shape of an -topos as its generalized homotopy type. We establish the basic functorial prope…