TY  - JOUR
AB  - Using methods from nonstandard analysis, we will discuss which metric spaces can be realized as ultralimits (in particular, asymptotic cones). For example, we will show that any separable ultralimit is proper. Applying the results we will find in the context of groups, we will classify the real trees appearing as asymptotic cones of (not necessarily hyperbolic) finitely generated groups. Also, we show that all proper metric spaces can be realized as asymptotic cones.
AU  - Sisto, Alessandro
DA  - 2012
LA  - eng
IS  - Münster Journal of Mathematics
M2  - 233
PY  - 2012
SP  - 233-248
T2  - Münster Journal of Mathematics
TI  - Separable and tree-like asymptotic cones of groups
UR  - https://nbn-resolving.org/urn:nbn:de:hbz:6-88399586094
Y2  - 2024-12-27T10:45:25
ER  -