4 papers · 1 filter
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…
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…
A remark on the invariance of -theory under duality
Georg Lehner
In this short remark, we explain that two examples of invariance under duality for a localizing invariant hold purely formally when is -theory, whereas the general state…
Algebraic -theory of stably compact spaces
Georg Lehner
We compute the value of finitary localizing invariants, including algebraic -theory, on categories of sheaves over stably locally compact spaces . Our formula simultaneously…