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Stability of curvature-dimension condition for negative dimensions under concentration topology

Metric Geometry 2022-09-09 v1

Abstract

In this paper, we prove the stability of metric measure spaces satisfying the curvature-dimension condition for negative dimensions under a concentration topology. This result is an analogue of the result by Funano-Shioya with respect to the dimension parameter.

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Cite

@article{arxiv.2209.03587,
  title  = {Stability of curvature-dimension condition for negative dimensions under concentration topology},
  author = {Shun Oshima},
  journal= {arXiv preprint arXiv:2209.03587},
  year   = {2022}
}

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33 pages