Universal Cell-Like Maps

Universal maps on trees

A map f : R ! S of continua R and S is called a universal map from R to S if for any map g : R ! S, f(x) = g(x) for some point x 2 R. When R and S are trees, we characterize universal maps by reducing to the case of light minimal universal maps. The characterization uses the notions of combinatorial map and folded subedge of R. MOS Subject Classi cation Primary: 54H25 Secondary: 54F20

Universal covering Maps and radial

The Topology of Manifolds and Cell-Like Maps

1. Introduction. The focus of this expository article will be on the notion of a cell-like set and a cell-like map (definitions below). It will be discussed how these notions arise naturally in the study of certain problems in topology, and how some solutions to these problems have been achieved. It should be emphasized at the outset that the problems discussed here are all topological in natur...

F Ur Mathematik in Den Naturwissenschaften Leipzig Universal Covering Maps and Radial Variation Universal Covering Maps and Radial Variation

Three-Dimensional HÉnon-like Maps and Wild Lorenz-like attractors

We discuss a rather new phenomenon in chaotic dynamics connected with the fact that some three-dimensional diffeomorphisms can possess wild Lorenz-type strange attractors. These attractors persist for open domains in the parameter space. In particular, we report on the existence of such domains for a three-dimensional Hénon map (a simple quadratic map with a constant Jacobian which occurs in a ...