Rectifiability of flat chains in Banach spaces with coefficients in Zp View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2011-06

AUTHORS

Luigi Ambrosio, Stefan Wenger

ABSTRACT

In this paper we study the behaviour of a class of currents with coefficients in Zp in metric spaces, obtained by taking a suitable quotient of currents with coefficients in Z. We prove under fairly general assumption on the ambient space the rectifiability of the so-called slice mass, and under more restrictive assumptions the rectifiability of the mass measure. More... »

PAGES

477-506

References to SciGraph publications

  • 2000-03. Currents in metric spaces in ACTA MATHEMATICA
  • 1989-12. A new proof of the compactness theorem for integral currents in COMMENTARII MATHEMATICI HELVETICI
  • 1999-06. Differentiability of Lipschitz Functions on Metric Measure Spaces in GEOMETRIC AND FUNCTIONAL ANALYSIS
  • 2007-02. Flat convergence for integral currents in metric spaces in CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS
  • 1996. Geometric Measure Theory in NONE
  • 2000-11. Rectifiable sets in metric and Banach spaces in MATHEMATISCHE ANNALEN
  • 2008-01. Gromov hyperbolic spaces and the sharp isoperimetric constant in INVENTIONES MATHEMATICAE
  • 1999-09. The deformation theorem for flat chains in ACTA MATHEMATICA
  • 1977. Convex Analysis and Measurable Multifunctions in NONE
  • 2005-04. Isoperimetric inequalities of Euclidean type in metric spaces in GEOMETRIC AND FUNCTIONAL ANALYSIS
  • 2003-08. Size minimization and approximating problems in CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s00209-010-0680-y

    DOI

    http://dx.doi.org/10.1007/s00209-010-0680-y

    DIMENSIONS

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