On equicontinuous families of mappings of metric spaces
Abstract
UDC 517.5
We obtain analogs of results on equicontinuity of families of quasiregular mappings that take no values from a fixed continuum.
We prove that these families are equicontinuous whenever the quasiconformity characteristics of the mappings have a finite mean oscillation at every inner point.
In this context, we also prove the equicontinuity of generalized quasiisometries of Riemannian manifolds.
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