Flat chains in banach spaces

2004/11/13 by Tarn Adams, Adams, Tarn
Mathematics · #49Q15 (Primary) 49Q05 (Secondary) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #math.CA #msc:49Q05 #msc:49Q15

paper · pdf · doi:10.48550/arxiv.math/0411309

26 pages

arxiv created 2004/11/13 · arxiv updated 2009/12/01

Abstract

We generalize the notion of flat chains with arbitrary coefficient groups to Banach spaces and prove a sequential compactness result. We also remove the restriction that a flat chain have finite mass in order for its support to exist.

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