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Median spaces with the strict separation property and superrigidity of actions
Abstract
We introduce strictly separated median spaces, prove structural results and establish superrigidity for actions of higher rank lattices on the latter. We consider two different approach, the first one relies on the construction of a boundary map and the second one is self-contained and relies on the median geometry of the space of sections taking values in a median space.
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BibTeX
@misc{chatterji2026median,
title = {{Median spaces with the strict separation property and superrigidity of actions}},
author = {Indira Chatterji and Lamine Messaci},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.27866},
eprint = {2610.27866},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.27866},
}
RIS
TY - UNPB
TI - Median spaces with the strict separation property and superrigidity of actions
AU - Indira Chatterji
AU - Lamine Messaci
PY - 2026
DA - 2026/10/20
PB - arXiv
DO - 10.48550/arxiv.2610.27866
UR - https://arxiv.org/abs/2610.27866
AB - We introduce strictly separated median spaces, prove structural results and establish superrigidity for actions of higher rank lattices on the latter. We consider two different approach, the first one relies on the construction of a boundary map and the second one is self-contained and relies on the median geometry of the space of sections taking values in a median space.
ER -