I. M. Kamchibekov
Russia, 198904, Saint Petersburg,
Petrodvorets, Universitetskiy pr. 4
Saint Petersburg State University
Faculty of mathematics and mechanics
We consider the problem of genericity of the property of nonsensitivity at a generic point for dynamical systems generated by homeomorphisms of metric spaces. We indicate properties of metric spaces such that a generic homeomorphism of a metric space having this property is nonsensitive at a generic point. It is shown that the standard Cantor set has this property. Bibliography: 6 titles.