Members & Guests

Prof. Dr. Linus Kramer

WWU Münster

E-mail: linus.kramer(at)wwu.de
Telephone: +49 251 83 33 720
Homepage: https://www.uni-muenster.de/AGKramer/ind…

Project

20Compactifications and Local-to-Global Structure for Bruhat-Tits Buildings

Publications within SPP2026

In this work we describe horofunction compactifications of metric spaces and finite dimensional real vector spaces through asymmetric metrics and asymmetric polyhedral norms by means of nonstandard methods, that is, ultrapowers of the spaces at hand. The compactifications of the vector spaces carry the structure of stratified spaces with the strata indexed by dual faces of the polyhedral unit ball. Explicit neighborhood bases and descriptions of the horofunctions are provided.