6 papers
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…
Measure theory via Locales
Georg Lehner
We present an approach to measure theory using the theory of locales. This includes concrete constructions of measure algebras associated to Radon measures, such as the Lebesgue me…
The passage from the integral to the rational group ring in algebraic -theory
Georg Lehner
An open question is whether the map in reduced -theory from the integral to the rational group ring is tr…
Algebraic -theory of coherent spaces
Georg Lehner
We give a description of the value of a finitary localizing invariant, such as algebraic -theory, on the category of sheaves on a locally coherent space . This in particular…