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math.GR2026
Invariable Generation of Groups of Homeomorphisms
Neelam, Davide Perego, Matteo Tarocchi
We provide a sufficient condition for a group of homeomorphisms of a compact Hausdorff space to be non-invariably generated, generalizing previous results proved using the dynamics…
math.DG2026
A sharp isoperimetric inequality and the top order -curvature
Mingxiang Li, Xingwang Xu
For a smooth, complete and normal metric with finite total -th order -curvature on with dimension , we first show that everywhere…