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Abstrakty
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 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.
Słowa kluczowe
Kategorie tematyczne
Rocznik
Tom
Numer
Strony
329-333
Opis fizyczny
Daty
wydano
2004
Twórcy
autor
- Institute of Mathematics, University of Tsukuba, Ibaraki, 305-8571 Japan
autor
- Institute of Mathematics, University of Tsukuba, Ibaraki, 305-8571 Japan
Bibliografia
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-doi-10_4064-ba52-3-12