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Can I read Coarse Cohomology with Twisted Coefficients on EtoBox?
Coarse Cohomology with Twisted Coefficients by Elisa Hartmann is a Mathematics article available to read on EtoBox.
What is Coarse Cohomology with Twisted Coefficients about?
To a coarse structure we associate a Grothendieck topology which is determined by coarse covers. A coarse map between coarse spaces gives rise to a morphism of Grothendieck topologies. This way we define sheaves and sheaf cohomology on coarse spaces. We obtain that sheaf cohomology is a functor on the coarse category: if two coarse maps are close they induce the same map in cohomology. There is a coarse version of a Mayer-Vietoris sequence and for every inclusion of coarse spaces there is a coarse version of relative cohomology. Cohomology with constant coefficients can be computed using the number of ends of a coarse space.
Who reads Coarse Cohomology with Twisted Coefficients?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Elisa Hartmann
- Publisher
- Walter de Gruyter GmbH
- Published
- 2020
- Language
- EN
- Field
- Mathematics (Physical Sciences)