Charges in middle dimensions

DOI10.1016/j.matpur.2009.04.001zbMath1166.49039OpenAlexW1977297546MaRDI QIDQ923876

Washek F. Pfeffer, Laurent Moonens, Thierry De Pauw

Publication date: 24 July 2009

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matpur.2009.04.001

zbMATH Keywords

normal currentscohomologylocalized locally convex topologiesrepresentation of charges and flat cochains

Mathematics Subject Classification ID

Geometric measure and integration theory, integral and normal currents in optimization (49Q15) General theory of locally convex spaces (46A03) Other homology theories in algebraic topology (55N35) Currents in global analysis (58A25)

Related Items (12)

Linear isoperimetric inequality for normal and integral currents in compact subanalytic sets ⋮ Chains and forms in compact metric spaces ⋮ Continuous solutions for divergence-type equations associated to elliptic systems of complex vector fields ⋮ On local continuous solvability of equations associated to elliptic and canceling linear differential operators ⋮ Approximation by polyhedral \(G\) chains in Banach spaces ⋮ Non-absolutely convergent integrals with respect to distributions ⋮ Retractions onto the space of continuous divergence-free vector fields ⋮ A Henstock-Kurzweil type integral on one dimensional integral currents ⋮ Homology of Normal Chains and Cohomology of Charges ⋮ Limiting Bourgain-Brezis estimates for systems of linear differential equations: theme and variations ⋮ Removable sets for the flux of continuous vector fields ⋮ Comments on Washek Pfeffer's contributions to integration theory

Cites Work

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• On the exceptional sets of the flux of a bounded vectorfield.
• The multidimensional Luzin theorem
• Nonconstant Continuous Functions whose Tangential Derivative Vanishes along a Smooth Curve
• On SBV dual
• On the equation 𝑑𝑖𝑣𝑌=𝑓 and application to control of phases
• Distributions for which div v = F has a continuous solution

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