Abstract
Simple non-discrete metric ultraproducts of classical groups are geodesic spaces with respect to a natural metric.
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Wilson, J.S. Metric ultraproducts of classical groups. Arch. Math. 109, 407–412 (2017). https://doi.org/10.1007/s00013-017-1087-3
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DOI: https://doi.org/10.1007/s00013-017-1087-3