Fernandes, Alexandre; Jelonek, Zbigniew Bi-Lipschitz characterization of space curves. (English) Zbl 07711582 Bull. Braz. Math. Soc. (N.S.) 54, No. 3, Paper No. 29, 6 p. (2023). MSC: 14R10 14H50 58K30 PDF BibTeX XML Cite \textit{A. Fernandes} and \textit{Z. Jelonek}, Bull. Braz. Math. Soc. (N.S.) 54, No. 3, Paper No. 29, 6 p. (2023; Zbl 07711582) Full Text: DOI arXiv
Sampaio, José Edson On Lipschitz geometry at infinity of complex analytic sets. (English) Zbl 1510.32067 Calc. Var. Partial Differ. Equ. 62, No. 2, Paper No. 69, 14 p. (2023). MSC: 32S20 14B05 32A15 32S50 PDF BibTeX XML Cite \textit{J. E. Sampaio}, Calc. Var. Partial Differ. Equ. 62, No. 2, Paper No. 69, 14 p. (2023; Zbl 1510.32067) Full Text: DOI arXiv
Fernandes, Alexandre; Jelonek, Zbigniew; Sampaio, José Edson On the Fukui-Kurdyka-Paunescu conjecture. (English) Zbl 1499.14007 Compos. Math. 158, No. 6, 1298-1313 (2022). Reviewer: Aleksandr G. Aleksandrov (Moskva) MSC: 14B05 32S50 58K30 58K20 PDF BibTeX XML Cite \textit{A. Fernandes} et al., Compos. Math. 158, No. 6, 1298--1313 (2022; Zbl 1499.14007) Full Text: DOI arXiv
Birbrair, Lev; Fernandes, Alexandre; Jelonek, Zbigniew On the extension of bi-Lipschitz mappings. (English) Zbl 1469.14117 Sel. Math., New Ser. 27, No. 2, Paper No. 15, 24 p. (2021). Reviewer: Tobias Kaiser (Passau) MSC: 14R10 14P15 14P10 PDF BibTeX XML Cite \textit{L. Birbrair} et al., Sel. Math., New Ser. 27, No. 2, Paper No. 15, 24 p. (2021; Zbl 1469.14117) Full Text: DOI arXiv
Giles Flores, Arturo; da Silva, Otoniel Nogueira; Teissier, Bernard The biLipschitz geometry of complex curves: an algebraic approach. (English) Zbl 1457.32069 Neumann, Walter (ed.) et al., Introduction to Lipschitz geometry of singularities. Lecture notes of the international school on singularity theory and Lipschitz geometry, Cuernavaca, Mexico, June 11–22, 2018. Cham: Springer. Lect. Notes Math. 2280, 217-271 (2020). MSC: 32S05 PDF BibTeX XML Cite \textit{A. Giles Flores} et al., Lect. Notes Math. 2280, 217--271 (2020; Zbl 1457.32069) Full Text: DOI
Kondo, Kei; Tanaka, Minoru Differentiable sphere theorems whose comparison spaces are standard spheres or exotic ones. (English) Zbl 1445.53026 Kodai Math. J. 43, No. 2, 349-365 (2020). Reviewer: Andreas Arvanitoyeorgos (Patras) MSC: 53C20 57R55 49J52 57R12 PDF BibTeX XML Cite \textit{K. Kondo} and \textit{M. Tanaka}, Kodai Math. J. 43, No. 2, 349--365 (2020; Zbl 1445.53026) Full Text: DOI arXiv Euclid
Koike, Satoshi; Paunescu, Laurentiu Applications of the sequence selection property to bi-Lipschitz geometry. (English) Zbl 1440.14269 Eur. J. Math. 5, No. 4, 1202-1211 (2019). MSC: 14P15 32B20 57R45 PDF BibTeX XML Cite \textit{S. Koike} and \textit{L. Paunescu}, Eur. J. Math. 5, No. 4, 1202--1211 (2019; Zbl 1440.14269) Full Text: DOI
Fish, Alexander; Paunescu, Laurentiu Unwinding spirals I. (English) Zbl 1428.14054 Methods Appl. Anal. 25, No. 3, 225-232 (2018). Reviewer: Hans-Peter Schröcker (Innsbruck) MSC: 14H50 51F99 PDF BibTeX XML Cite \textit{A. Fish} and \textit{L. Paunescu}, Methods Appl. Anal. 25, No. 3, 225--232 (2018; Zbl 1428.14054) Full Text: DOI arXiv
Asekritova, Irina; Karlovich, Yuri; Kruglyak, Natan One-sided invertibility of discrete operators and their applications. (English) Zbl 1417.39068 Aequationes Math. 92, No. 1, 39-73 (2018). MSC: 39A70 39B32 41A05 46B70 47B38 47B39 PDF BibTeX XML Cite \textit{I. Asekritova} et al., Aequationes Math. 92, No. 1, 39--73 (2018; Zbl 1417.39068) Full Text: DOI
Kondo, Kei; Tanaka, Minoru Approximations of Lipschitz maps via immersions and differentiable exotic sphere theorems. (English) Zbl 1368.49053 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 155, 219-249 (2017). MSC: 49Q20 49J52 53C20 57R12 57R55 PDF BibTeX XML Cite \textit{K. Kondo} and \textit{M. Tanaka}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 155, 219--249 (2017; Zbl 1368.49053) Full Text: DOI arXiv
Navas, Andrés A remark concerning bi-Lipschitz equivalence of Delone sets. (Une remarque à propos de l’équivalence bilipschitzienne entre des ensembles de Delone.) (French. Abridged English version) Zbl 1366.37041 C. R., Math., Acad. Sci. Paris 354, No. 10, 976-979 (2016). MSC: 37B50 52C22 52C07 PDF BibTeX XML Cite \textit{A. Navas}, C. R., Math., Acad. Sci. Paris 354, No. 10, 976--979 (2016; Zbl 1366.37041) Full Text: DOI
Brock, Jeffrey; Minsky, Yair; Namazi, Hossein; Souto, Juan Bounded combinatorics and uniform models for hyperbolic 3-manifolds. (English) Zbl 1353.51014 J. Topol. 9, No. 2, 451-501 (2016). Reviewer: Kelly J. Pearson (Murray) MSC: 51M10 PDF BibTeX XML Cite \textit{J. Brock} et al., J. Topol. 9, No. 2, 451--501 (2016; Zbl 1353.51014) Full Text: DOI arXiv
Koike, Satoshi; Paunescu, Laurentiu On the geometry of sets satisfying the sequence selection property. (English) Zbl 1326.14137 J. Math. Soc. Japan 67, No. 2, 721-751 (2015). MSC: 14P15 32B20 57R45 PDF BibTeX XML Cite \textit{S. Koike} and \textit{L. Paunescu}, J. Math. Soc. Japan 67, No. 2, 721--751 (2015; Zbl 1326.14137) Full Text: DOI arXiv Euclid
Koike, Satoshi; Paunescu, Laurentiu (SSP) geometry with directional homeomorphisms. (English) Zbl 1329.14105 J. Singul. 13, 169-178 (2015). Reviewer: Aleksandr G. Aleksandrov (Moskva) MSC: 14P15 32B20 57R45 PDF BibTeX XML Cite \textit{S. Koike} and \textit{L. Paunescu}, J. Singul. 13, 169--178 (2015; Zbl 1329.14105) Full Text: DOI arXiv Link
Koike, Satoshi; Loi, Ta Lê; Paunescu, Laurentiu; Shiota, Masahiro Directional properties of sets definable in o-minimal structures. (Propriétés directionnelles d’ensembles définissable dans des structures o-minimales.) (English. French summary) Zbl 1390.14181 Ann. Inst. Fourier 63, No. 5, 2017-2047 (2013). MSC: 14P15 32B20 14P10 57R45 PDF BibTeX XML Cite \textit{S. Koike} et al., Ann. Inst. Fourier 63, No. 5, 2017--2047 (2013; Zbl 1390.14181) Full Text: DOI arXiv
Xie, Xiangdong Quasisymmetric homeomorphisms on reducible Carnot groups. (English) Zbl 1278.53036 Pac. J. Math. 265, No. 1, 113-122 (2013). Reviewer: Andreea Olteanu (Bucureşti) MSC: 53C17 53C23 30L10 PDF BibTeX XML Cite \textit{X. Xie}, Pac. J. Math. 265, No. 1, 113--122 (2013; Zbl 1278.53036) Full Text: DOI
Lukyanenko, Anton Bi-Lipschitz extension from boundaries of certain hyperbolic spaces. (English) Zbl 1273.30055 Geom. Dedicata 164, 47-71 (2013). Reviewer: Sergiy Merenkov (Urbana) MSC: 30L10 53C23 53C30 PDF BibTeX XML Cite \textit{A. Lukyanenko}, Geom. Dedicata 164, 47--71 (2013; Zbl 1273.30055) Full Text: DOI arXiv
Kovtonyuk, D. A.; Ryazanov, V. I. On the theory of generalized quasi-isometries. (English. Russian original) Zbl 1291.30135 Math. Notes 91, No. 4, 535-541 (2012); translation from Mat. Zametki 91, No. 4, 571-577 (2012). MSC: 30C65 PDF BibTeX XML Cite \textit{D. A. Kovtonyuk} and \textit{V. I. Ryazanov}, Math. Notes 91, No. 4, 535--541 (2012; Zbl 1291.30135); translation from Mat. Zametki 91, No. 4, 571--577 (2012) Full Text: DOI
Salimov, R. R. The local behaviour of generalized quasiisometries. (Russian. English summary) Zbl 1240.30093 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2011, No. 6, 23-28 (2011). MSC: 30C62 PDF BibTeX XML Cite \textit{R. R. Salimov}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2011, No. 6, 23--28 (2011; Zbl 1240.30093)
Le Loi, Ta An observation on definable bi-Lipschitz homeomorphism. (English) Zbl 1218.14052 Vietnam J. Math. 38, No. 3, 281-286 (2010). MSC: 14P15 32B20 14P10 PDF BibTeX XML Cite \textit{T. Le Loi}, Vietnam J. Math. 38, No. 3, 281--286 (2010; Zbl 1218.14052) Full Text: Link
Kubiś, Wiesław; Rubin, Matatyahu Extension and reconstruction theorems for the Urysohn universal metric space. (English) Zbl 1224.22010 Czech. Math. J. 60, No. 1, 1-29 (2010). MSC: 22F50 54E40 51F99 20E36 54H11 PDF BibTeX XML Cite \textit{W. Kubiś} and \textit{M. Rubin}, Czech. Math. J. 60, No. 1, 1--29 (2010; Zbl 1224.22010) Full Text: DOI arXiv EuDML
Koike, Satoshi; Paunescu, Laurentiu The directional dimension of subanalytic sets is invariant under bi-Lipschitz homeomorphisms. (English) Zbl 1184.14086 Ann. Inst. Fourier 59, No. 6, 2445-2467 (2009). Reviewer: Tadeusz Krasiński (Łódź) MSC: 14P15 32B20 PDF BibTeX XML Cite \textit{S. Koike} and \textit{L. Paunescu}, Ann. Inst. Fourier 59, No. 6, 2445--2467 (2009; Zbl 1184.14086) Full Text: DOI arXiv EuDML
Fukui, Toshizumi; Kurdyka, Krzysztof; Paunescu, Laurentiu An inverse mapping theorem for arc-analytic homeomorphisms. (English) Zbl 1070.32005 Hironaka, Heisuke (ed.) et al., Geometric singularity theory. Dedicated to the memory of Stanisław Łojasiewicz. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Center Publications 65, 49-56 (2004). Reviewer: Stanco Dimiev (Sofia) MSC: 32B20 14P15 PDF BibTeX XML Cite \textit{T. Fukui} et al., Banach Cent. Publ. 65, 49--56 (2004; Zbl 1070.32005)
Csörnyei, Marianna Lipschitz image of Lipschitz functions. (English) Zbl 1045.26002 Real Anal. Exch. 27(2001-2002), No. 2, 735-737 (2002). MSC: 26A16 46G05 PDF BibTeX XML Cite \textit{M. Csörnyei}, Real Anal. Exch. 27, No. 2, 735--737 (2002; Zbl 1045.26002) Full Text: DOI
Godefroy, Gilles Banach spaces of continuous functions on compact spaces. (English) Zbl 1030.54010 Hušek, Miroslav (ed.) et al., Recent progress in general topology II. Based on the Prague topological symposium, Prague, Czech Republic, August 19-25, 2001. Amsterdam: Elsevier. 177-199 (2002). Reviewer: Ljubiša D.Kočinac (Aleksandrovać) MSC: 54C35 54-02 46B03 46B15 PDF BibTeX XML Cite \textit{G. Godefroy}, in: Recent progress in general topology II. Based on the Prague topological symposium, Prague, Czech Republic, August 19--25, 2001. Amsterdam: Elsevier. 177--199 (2002; Zbl 1030.54010)
Nahum, Ronny On the Lipschitz classification of normed spaces, unit balls, and spheres. (English) Zbl 0981.46019 Proc. Am. Math. Soc. 129, No. 7, 1995-1999 (2001). Reviewer: J.Górnicki (Rzeszów) MSC: 46B20 PDF BibTeX XML Cite \textit{R. Nahum}, Proc. Am. Math. Soc. 129, No. 7, 1995--1999 (2001; Zbl 0981.46019) Full Text: DOI
Matoušková, Eva Lipschitz images of Haar null sets. (English) Zbl 1015.46009 Bull. Lond. Math. Soc. 32, No. 2, 235-244 (2000). MSC: 46B20 46G12 49J53 PDF BibTeX XML Cite \textit{E. Matoušková}, Bull. Lond. Math. Soc. 32, No. 2, 235--244 (2000; Zbl 1015.46009) Full Text: DOI
McMullen, C. T. Lipschitz maps and nets in Euclidean space. (English) Zbl 0941.37030 Geom. Funct. Anal. 8, No. 2, 304-314 (1998). Reviewer: Messoud Efendiev (Berlin) MSC: 37F30 37F05 PDF BibTeX XML Cite \textit{C. T. McMullen}, Geom. Funct. Anal. 8, No. 2, 304--314 (1998; Zbl 0941.37030) Full Text: DOI
Toro, Tatiana Geometric conditions and existence of bi-Lipschitz parameterizations. (English) Zbl 0847.42011 Duke Math. J. 77, No. 1, 193-227 (1995). Reviewer: H.Tanabe (Toyonaka) MSC: 42B20 28A78 PDF BibTeX XML Cite \textit{T. Toro}, Duke Math. J. 77, No. 1, 193--227 (1995; Zbl 0847.42011) Full Text: DOI
Chaïra, Abdellatif Homéomorphisme entre ouverts lipschitziens. (Homeomorphism between Lipschitzian open sets). (French) Zbl 0782.26006 C. R. Acad. Sci., Paris, Sér. I 310, No. 7, 523-526 (1990). MSC: 26B35 46E35 PDF BibTeX XML Cite \textit{A. Chaïra}, C. R. Acad. Sci., Paris, Sér. I 310, No. 7, 523--526 (1990; Zbl 0782.26006)