On Surjective Bing Maps

Hisao Kato, Eiichi Matsuhashi
2004 Bulletin of the Polish Academy of Sciences Mathematics  
In [7] , M. Levin proved that the set of all Bing maps of a compact metric space to the unit interval is a dense G δ -subset of the space of all maps. In [6], J. Krasinkiewicz independently proved that the set of all Bing maps of a compact metric space to an n-dimensional manifold (n ≥ 1) is a dense G δ -subset of the space of maps. In [9], J. Song and E. D. Tymchatyn, solving some problems of J. Krasinkiewicz ([6]), proved that the set of all Bing maps of a compact metric space to a
more » ... ace to a nondegenerate connected polyhedron is a dense G δ -subset of the space of maps. In this note, we investigate the existence of surjective Bing maps from continua to polyhedra. Independently, J. Krasinkiewicz proved the following theorem.
doi:10.4064/ba52-3-12 fatcat:3nalbup5cjclnd2ircbc4pzvsa