In [7], M. Levin proved that the set of all Bing maps of a compact metric space to the unit interval is a dense -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 -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 nondegenerate connected polyhedron is a dense -subset of the space of maps. In this note, we investigate the existence of surjective Bing maps from continua to polyhedra.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ba52-3-12,
author = {Hisao Kato and Eiichi Matsuhashi},
title = {On Surjective Bing Maps},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
volume = {52},
year = {2004},
pages = {329-333},
zbl = {1098.54030},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba52-3-12}
}
Hisao Kato; Eiichi Matsuhashi. On Surjective Bing Maps. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 52 (2004) pp. 329-333. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba52-3-12/