20 citations · 67 across the 25 of their papers we have counts for
7 papers · 1 filter
Polyhedral compactifications, I
Corina Ciobotaru, Linus Kramer, Petra Schwer
In this work we describe horofunction compactifications of metric spaces and finite dimensional real vector spaces through asymmetric metrics and asymmetric polyhedral norms by mea…
A structure theorem for euclidean buildings
Petra Schwer, David Weniger
We prove an affine analog of Scharlau's reduction theorem for spherical buildings. To be a bit more precise let be a euclidean building with spherical building at…
On axiomatic definitions of non-discrete affine buildings
Curtis D. Bennett, Petra N. Schwer, Koen Struyve
In this paper we prove equivalence of sets of axioms for non-discrete affine buildings, by providing different types of metric, exchange and atlas conditions. We apply our result t…
Non-discrete affine buildings and convexity
Petra Schwer
Affine buildings are in a certain sense analogs of symmetric spaces. It is therefore natural to try to find analogs of results for symmetric spaces in the theory of buildings. In t…
Generalized affine buildings
Petra Schwer
In the present thesis geometric properties of non-discrete affine buildings are studied. We cover in particular affine -buildings, which were introduced by Curtis Bennett in 199…
Kostant Convexity for affine buildings
Petra Schwer
We prove an analogue of Kostants convexity theorem for thick affine buildings and give an application for groups with affine BN-pair. Recall that there are two natural retractions…
Spaces with many affine functions
Petra Schwer, Alexander Lytchak
We describe all metric spaces that have sufficently many affine functions. As an application we obtain a metric characterization of linear-convex subsets of Banach spaces.