Lipschitz geometry of pairs of normally embedded Hölder triangles
| Autor: | Lev Birbrair, Andrei Gabrielov |
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| Rok vydání: | 2022 |
| Předmět: | |
| DOI: | 10.48550/arxiv.2201.06132 |
| Popis: | We consider a special case of the outer bi-Lipschitz classification of real semialgebraic (or, more general, definable in a polynomially bounded o-minimal structure) surface germs, obtained as a union of two normally embedded Hölder triangles. We define a combinatorial invariant of an equivalence class of such surface germs, called $στ$-pizza, and conjecture that, in this special case, it is a complete combinatorial invariant of outer bi-Lipschitz equivalence. 24 pages, 7 figures |
| Databáze: | OpenAIRE |
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