Quantitative nonorientability of embedded cycles

DOI10.1215/00127094-2017-0035zbMath1391.49081arXiv1312.0966OpenAlexW3102393577MaRDI QIDQ1700516

Robert Young

Publication date: 6 March 2018

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.0966

zbMATH Keywords

integral currentsorientabilityuniform rectifiabilityfilling volume

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Geometric measure and integration theory, integral and normal currents in optimization (49Q15)

Related Items (6)

Filling metric spaces ⋮ Vertical perimeter versus horizontal perimeter ⋮ Composing and decomposing surfaces and functions ⋮ Regularity of area minimizing currents mod \(p\) ⋮ Filling random cycles ⋮ Homological filling functions with coefficients

Cites Work

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• Pants decompositions of random surfaces
• Area-minimizing currents bounded by higher multiples of curves
• Morceaux de graphes lipschitziens et intégrales singulières sur une surface
• The mathematics of F. J. Almgren, jun
• The deformation theorem for flat chains
• Some extremal questions for simplicial complexes. III: Problems of the geometry and analysis of the higher Euclidean spaces. V: The relative area of a Klein bottle
• Normal and integral currents
• Contraction of areas vs. topology of mappings
• The Least Area Bounded by Multiples of a Curve
• Stokes' Theorem for Integral Currents Modulo &#957
• A T(b) theorem with remarks on analytic capacity and the Cauchy integral
• Uniform rectifiability and quasiminimizing sets of arbitrary codimension

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