Rectifiable and flat <i>G</i> chains in a metric space
From MaRDI portal
Publication:2879623
DOI10.1353/ajm.2012.0004zbMath1252.49070OpenAlexW2005622867MaRDI QIDQ2879623
Thierry De Pauw, Robert M. Hardt
Publication date: 29 March 2012
Published in: American Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1353/ajm.2012.0004
Variational problems in a geometric measure-theoretic setting (49Q20) Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Special maps on metric spaces (54E40) Geometric embeddings of metric spaces (30L05)
Related Items (29)
Linear isoperimetric inequality for normal and integral currents in compact subanalytic sets ⋮ A multi-material transport problem with arbitrary marginals ⋮ Coefficient groups inducing nonbranched optimal transport ⋮ Chains and forms in compact metric spaces ⋮ On the structure of flat chains modulo \(p\) ⋮ Comparing chains in a Banach space ⋮ Approximation by polyhedral \(G\) chains in Banach spaces ⋮ On the existence of mass minimizing rectifiable \(G\) chains in finite dimensional normed spaces ⋮ Partial regularity for mass-minimizing currents in Hilbert spaces ⋮ Flat chains of finite size in metric spaces ⋮ Improved stability of optimal traffic paths ⋮ Flat forms in Banach spaces ⋮ Regularity of area minimizing currents mod \(p\) ⋮ Connecting rational homotopy type singularities ⋮ A Variational Approach to Single Crystals with Dislocations ⋮ Some basic theorems on flat \(G\) chains ⋮ Topological singular set of vector-valued maps. I: Applications to manifold-constrained Sobolev and BV spaces ⋮ A Henstock-Kurzweil type integral on one dimensional integral currents ⋮ Integral geometric measure in separable Banach space ⋮ Improved partial regularity for manifold-constrained minimisers of subquadratic energies ⋮ Homology of Normal Chains and Cohomology of Charges ⋮ Rectifiability of flat chains in Banach spaces with coefficients in \(\mathbb Z_p\) ⋮ An optimal irrigation network with infinitely many branching points ⋮ A mass reducing flow for real-valued flat chains with applications to transport networks ⋮ A Multimaterial Transport Problem and its Convex Relaxation via Rectifiable $G$-currents ⋮ Functions of bounded fractional variation and fractal currents ⋮ Approximation of rectifiable 1-currents and weak-\(\ast\) relaxation of the \(h\)-mass ⋮ Compactness of special functions of bounded higher variation ⋮ Flat forms in metric spaces
This page was built for publication: Rectifiable and flat <i>G</i> chains in a metric space
