Krasinkiewicz maps from compacta to polyhedra

• Autorzy: Eiichi Matsuhashi
• Języki publikacji: EN

Abstrakty

EN

We prove that the set of all Krasinkiewicz maps from a compact metric space to a polyhedron (or a 1-dimensional locally connected continuum, or an n-dimensional Menger manifold, n ≥ 1) is a dense $G_δ$-subset of the space of all maps. We also investigate the existence of surjective Krasinkiewicz maps from continua to polyhedra.

Kategorie tematyczne

• 54C35: Function spaces
• 54F15: Continua and generalizations
• 54C05: Continuous maps
• 54F45: Dimension theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2006
• Tom: 54
• Numer: 2
• Strony: 137-146

Daty

wydano

2006

Twórcy

autor

Eiichi Matsuhashi

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

Identyfikatory

DOI

10.4064/ba54-2-5