Lipschitz Chain Approximation of Metric Integral Currents

Abstract

Every integral current in a locally compact metric space X can be approximated by a Lipschitz chain with respect to the normal mass, provided that Lipschitz maps into X can be extended slightly.

Keywords

• metric spaces
• integral currents
• polyhedral chains
• lipschitz chains
• 49q15
• 58a25
• 53c23