Every generating system for symplectic capacities has cardinality larger than the continuum

13 Mar 2020 Joksimović Dušan Ziltener Fabian

We consider the problem by K. Cieliebak, H. Hofer, J. Latschev, and F. Schlenk (CHLS) that is concerned with finding a minimal generating system for symplectic capacities on a given symplectic category. We show that every countably Borel-generating set of capacities has cardinality bigger than the continuum, provided that the symplectic category contains certain disjoint unions of shells... (read more)

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  • SYMPLECTIC GEOMETRY