Strong Kato limit can be branching Article Swipe
Gilles Carron
,
Ilaria Mondello
,
David Tewodrose
·
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2411.18097
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2411.18097
We provide an example of a non-collapsed strong Kato limit that is branching, essentially branching, and satisfies neither the $\mathrm{CD}(K,\infty)$ nor the $\mathrm{MCP}(K,N)$ conditions for any $K \in \mathbb{R}$ and $N \in [1,+\infty)$. In particular, this space is not a Ricci limit space. We also construct a compact non-collapsed strong Kato limit that cannot be obtained as Gromov-Hausdorff limit of closed Riemannian surfaces satisfying a uniform small $L^p$ bound à la Petersen--Wei.
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- Type
- preprint
- Language
- en
- Landing Page
- http://arxiv.org/abs/2411.18097
- https://arxiv.org/pdf/2411.18097
- OA Status
- green
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4404990682
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https://doi.org/10.48550/arxiv.2411.18097Digital Object Identifier
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Strong Kato limit can be branchingWork title
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preprintOpenAlex work type
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enPrimary language
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2024Year of publication
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2024-11-27Full publication date if available
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Gilles Carron, Ilaria Mondello, David TewodroseList of authors in order
- Landing page
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https://arxiv.org/abs/2411.18097Publisher landing page
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https://arxiv.org/pdf/2411.18097Direct link to full text PDF
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YesWhether a free full text is available
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greenOpen access status per OpenAlex
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https://arxiv.org/pdf/2411.18097Direct OA link when available
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Limit (mathematics), Branching (polymer chemistry), Statistical physics, Physics, Mathematics, Econometrics, Particle physics, Chemistry, Mathematical analysis, Organic chemistryTop concepts (fields/topics) attached by OpenAlex
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0Total citation count in OpenAlex
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10Other works algorithmically related by OpenAlex
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