Approximation with Bing Maps
by
Jianwei Song
University of Saskatchewan
Coauthors: E.D. Tymchatyn

A Bing space is a compact metric space such that all of its subcontinua are hereditarily indecomposable. A map is a Bing map if its fibers are Bing spaces. A space Y is free if for every compactum X the set of Bing maps from X to Y is a dense G_\delta subset of C(X, Y). M.Levin proved that the unit interval is free and Jozef Krasinkiewicz showed that n-manifolds (n >= 1) are free. We proved that cones and non-degenerate polyhedrons are free spaces. Some examples were given.

Date received: March 3, 1998