ISBN:
9781009288095
,
9781009288057
Language:
English
Pages:
1 Online-Ressource
Series Statement:
London Mathematical Society Lecture Note Ser v.483
Parallel Title:
Erscheint auch als
DDC:
510
Keywords:
Curves Rectification and quadrature
;
Courbes - Rectification et quadrature
;
Curvas
;
Curves - Rectification and quadrature
Abstract:
"This short book gives an overview of rectifiability and its deep connections with surprisingly large parts of mathematics. It avoids long technical arguments in favour of the big picture, with full references given via an extensive bibliography, giving readers an easily digestible presentation of this wide and active field"--
Description / Table of Contents:
Rectifiable curves -- One-dimensional rectifiable sets -- Higher dimensional rectifiable sets -- Uniform rectifiability -- Rectifiability of measures -- Rectifiable sets in metric spaces -- Heisenberg and Carnot groups -- Bounded analytic functions and the Cauchy transform -- Singular integrals -- Harmonic measure and elliptic measures -- Sets of finite perimeter and functions of bounded variation -- Currents and varifolds -- Minimizers and quasiminimizers -- Rectifiability of singularities -- Miscellaneous topics related to rectifiability.
Note:
Includes bibliographical references and index
