On Surjective Bing Maps

• Autorzy: Hisao Kato , Eiichi Matsuhashi
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 54C35: Function spaces
• 54C05: Continuous maps
• 54F15: Continua and generalizations
• 54C50: Special sets defined by functions
• 54F45: Dimension theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2004
• Tom: 52
• Numer: 3
• Strony: 329-333

Daty

wydano

2004

Twórcy

autor

Hisao Kato

• Institute of Mathematics, University of Tsukuba, Ibaraki, 305-8571 Japan

autor

Eiichi Matsuhashi

• Institute of Mathematics, University of Tsukuba, Ibaraki, 305-8571 Japan

Identyfikatory

DOI

10.4064/ba52-3-12