LEADER 02731oam 2200481 450 001 996418200203316 005 20210616223408.0 010 $a3-030-61807-2 024 7 $a10.1007/978-3-030-61807-0 035 $a(CKB)4100000011715652 035 $a(DE-He213)978-3-030-61807-0 035 $a(MiAaPQ)EBC6454888 035 $a(PPN)253252830 035 $a(EXLCZ)994100000011715652 100 $a20210616d2020 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 00$aIntroduction to Lipschitz geometry of singularities $electure notes of the International School on Singularity Theory and Lipschitz Geometry, Cuernavaca, June 2018 /$fWalter Neumann, Anne Pichon, editors 205 $a1st ed. 2020. 210 1$aCham, Switzerland :$cSpringer,$d[2020] 210 4$d©2020 215 $a1 online resource (XVI, 346 p. 137 illus., 45 illus. in color.) 225 1 $aLecture Notes in Mathematics ;$vVolume 2280 311 $a3-030-61806-4 330 $aThis book presents a broad overview of the important recent progress which led to the emergence of new ideas in Lipschitz geometry and singularities, and started to build bridges to several major areas of singularity theory. Providing all the necessary background in a series of introductory lectures, it also contains Pham and Teissier's previously unpublished pioneering work on the Lipschitz classification of germs of plane complex algebraic curves. While a real or complex algebraic variety is topologically locally conical, it is in general not metrically conical; there are parts of its link with non-trivial topology which shrink faster than linearly when approaching the special point. The essence of the Lipschitz geometry of singularities is captured by the problem of building classifications of the germs up to local bi-Lipschitz homeomorphism. The Lipschitz geometry of a singular space germ is then its equivalence class in this category. The book is aimed at graduate students and researchers from other fields of geometry who are interested in studying the multiple open questions offered by this new subject. 410 0$aLecture notes in mathematics (Internet) ;$vVolume 2280. 606 $aGeometry, Algebraic 606 $aFunctions of complex variables 615 0$aGeometry, Algebraic. 615 0$aFunctions of complex variables. 676 $a516.35 702 $aNeumann$b Walter 702 $aPichon$b Anne 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bUtOrBLW 906 $aBOOK 912 $a996418200203316 996 $aIntroduction to Lipschitz Geometry of Singularities$91768628 997 $aUNISA