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Non-Hilbertian tangents to Hilbertian spaces

Metric Geometry 2021-11-15 v1 Functional Analysis

Abstract

We provide examples of infinitesimally Hilbertian, rectifiable, Ahlfors regular metric measure spaces having pmGH-tangents that are not infinitesimally Hilbertian.

Keywords

Cite

@article{arxiv.2111.06777,
  title  = {Non-Hilbertian tangents to Hilbertian spaces},
  author = {Danka Lučić and Enrico Pasqualetto and Tapio Rajala},
  journal= {arXiv preprint arXiv:2111.06777},
  year   = {2021}
}

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19 pages