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- W2051220546 abstract "We adapt the theory of currents in metric spaces, as developed by the first-mentioned author in collaboration with B. Kirchheim, to currents with coefficients in Z_p. Building on S. Wenger's work in the orientable case, we obtain isoperimetric inequalities mod(p) in Banach spaces and we apply these inequalities to provide a proof of Gromov's filling radius inequality (and therefore also the systolic inequality) which applies to nonorientable manifolds, as well. With this goal in mind, we use the Ekeland principle to provide quasi-minimizers of the mass mod(p) in the homology class, and use the isoperimetric inequality to give lower bounds on the growth of their mass in balls." @default.
- W2051220546 created "2016-06-24" @default.
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- W2051220546 date "2010-04-08" @default.
- W2051220546 modified "2023-09-27" @default.
- W2051220546 title "Flat currents modulo p in metric spaces and filling radius inequalities" @default.
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