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math.MG2023
Coarse embeddings of quotients by finite group actions
Thomas Weighill
We prove that for a metric space and a finite group acting on by isometries, if coarsely embeds into a Hilbert space, then so does the quotient . A crucial ste…
math.MG2023
Coarse embeddability of Wasserstein space and the space of persistence diagrams
Neil Pritchard, Thomas Weighill
We prove an equivalence between open questions about the embeddability of the space of persistence diagrams and the space of probability distributions (i.e.~Wasserstein space). It…