Normal embeddings of semialgebraic sets. L Birbrair, T Mostowski Michigan Mathematical Journal 47 (1), 125-132, 2000 | 88 | 2000 |
Local bi-Lipschitz classification of 2-dimensional semialgebraic sets L Birbrair Inst. de Matemática Pura e Aplicada, 1996 | 68 | 1996 |
The thick-thin decomposition and the bilipschitz classification of normal surface singularities L Birbrair, WD Neumann, A Pichon Acta Mathematica 212 (2), 199-256, 2014 | 59 | 2014 |
Lipschitz regular complex algebraic sets are smooth L Birbrair, A Fernandes, D Lê, J Sampaio Proceedings of the American Mathematical Society 144 (3), 983-987, 2016 | 51 | 2016 |
𝒦-bi-Lipschitz equivalence of real function-germs L Birbrair, J Costa, A Fernandes, M Ruas Proceedings of the American Mathematical Society 135 (4), 1089-1095, 2007 | 34 | 2007 |
Metric theory of semialgebraic curves L Birbrair, A Fernandes Rev. Mat. Complut 13 (2), 369-382, 2000 | 31 | 2000 |
Inner metric geometry of complex algebraic surfaces with isolated singularities L Birbrair, A Fernandes Communications on Pure and Applied Mathematics: A Journal Issued by the …, 2008 | 30 | 2008 |
Bi-Lipschitz geometry of weighted homogeneous surface singularities L Birbrair, A Fernandes, WD Neumann Mathematische Annalen 342 (1), 139-144, 2008 | 29 | 2008 |
Metric homology L Birbrair, JP Brasselet Communications on Pure and Applied Mathematics: A Journal Issued by the …, 2000 | 23 | 2000 |
Medial axis and singularities L Birbrair, MP Denkowski The Journal of Geometric Analysis 27, 2339-2380, 2017 | 22 | 2017 |
Lipschitz contact equivalence of function germs in L Birbrair, A Fernandes, A Gabrielov, V Grandjean arXiv preprint arXiv:1406.2559, 2014 | 22 | 2014 |
Multiplicity of singularities is not a bi-Lipschitz invariant L Birbrair, A Fernandes, JE Sampaio, M Verbitsky Mathematische Annalen 377 (1), 115-121, 2020 | 20 | 2020 |
Arc criterion of normal embedding L Birbrair, R Mendes Brazil-Mexico Meeting on Singularities, 549-553, 2015 | 19 | 2015 |
Bi-Lipschitz geometry of complex surface singularities L Birbrair, A Fernandes, WD Neumann arXiv preprint arXiv:0804.0194, 2008 | 18 | 2008 |
Separating sets, metric tangent cone and applications for complex algebraic germs L Birbrair, A Fernandes, WD Neumann Selecta Mathematica 16, 377-391, 2010 | 16 | 2010 |
Metric homology for isolated conical singularities L Birbrair, JP Brasselet Bulletin des sciences mathematiques 126 (2), 87-95, 2002 | 16 | 2002 |
On the extension of bi-Lipschitz mappings L Birbrair, A Fernandes, Z Jelonek Selecta Mathematica 27 (2), 15, 2021 | 14 | 2021 |
Thick-thin decomposition for real definable isolated singularities L Birbrair, A Fernandes, V Grandjean Indiana University Mathematics Journal, 547-557, 2017 | 14 | 2017 |
Metric properties of conflict sets L Birbrair, D Siersma arXiv preprint arXiv:0704.3992, 2007 | 14 | 2007 |
Lipschitz geometry of curves and surfaces definable in o-minimal structures L Birbrair Illinois Journal of Mathematics 52 (4), 1325-1353, 2008 | 13 | 2008 |