12 citations · 25 across the 8 of their papers we have counts for
8 papers
Coarse sheaf cohomology
Elisa Hartmann
A certain Grothendieck topology assigned to a metric space gives rise to a sheaf cohomology theory which sees the coarse structure of the space. Already constant coefficients produ…
Coarse compactifications of proper metric spaces
Elisa Hartmann
This paper studies coarse compactifications and their boundary. We introduce two alternative descriptions to Roe's original definition of coarse compactification. One approach uses…
Coarse Homotopy on metric Spaces and their Corona
Elisa Hartmann
This paper discusses properties of the Higson corona by means of a quotient on coarse ultrafilters on a proper metric space. We use this description to show that the corona functor…
A pullback diagram in the coarse category
Elisa Hartmann
This paper studies the asymptotic product of two metric spaces. It is well defined if one of the spaces is visual or if both spaces are geodesic. In this case the asymptotic produc…
Twisted Coefficients on coarse Spaces and their Corona
Elisa Hartmann
To a metric space we associate a compact topological space called the corona of . Then a coarse map between metric spaces is mapped to a continuous map $ν'…
A totally bounded Uniformity on coarse metric Spaces
Elisa Hartmann
This paper presents a new version of boundary on coarse spaces. The space of ends functor maps coarse metric spaces to uniform topological spaces and coarse maps to uniformly conti…
A twisted Version of controlled K-Theory
Elisa Hartmann
There are a number of (co-)homology theories on coarse spaces. Controlled operator K-theory is by far the most popular one of them. Our approach is geometric. We study when does th…
Coarse Cohomology with twisted Coefficients
Elisa Hartmann
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 topolog…