On Multi-dimensional Quasi-attractors with Dynamical Action on Compact Topological Manifolds in R
نویسنده
چکیده
Let φn be an arbitrary compact topological manifold. We shall define a new topological object, Ω(t)φn , known as a lure, that alters the Minkowski Content of φn by acting on the boundary of φn, ∂φn by stretching or shrinking the boundary. After the notion of a lure has been established for compact manifolds, we shall relax the requirement that the manifold be locally Euclidean, by defining Λn to be an arbitrary topological manifold of domain in Euclidean Space. We shall then give a similar definition of Ω(t)Λn for these more general manifolds.
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