Discontinuous symplectic capacities
classification
🧮 math.SG
keywords
discontinuouscapacityfamilysmoothboundariescapacitiesconnectedellipsoidal
read the original abstract
We show that the spherical capacity is discontinuous on a smooth family of ellipsoidal shells. Moreover, we prove that the shell capacity is discontinuous on a family of open sets with smooth connected boundaries.
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