Wyniki wyszukiwania - BazTech

Ograniczanie wyników

2 Bulletin of the Polish Academy of Sciences. Mathematics

Znaleziono wyników: 2

Liczba wyników na stronie

Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: Menger manifold

Sortuj według:

Ogranicz wyniki do:

Krasinkiewicz maps from compacta to polyhedra

Matsuhashi E.

Bulletin of the Polish Academy of Sciences. Mathematics

2006

Vol. 54, no 2

137-146

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 Gδ-subset of the space of all maps. We also investigate the existence of surjective Krasinkiewicz maps from continua to polyhedra.

On surjective bing maps

Kato H., Matsuhashi E.

Bulletin of the Polish Academy of Sciences. Mathematics

2004

Vol. 52, nr 3

329-333

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[delta]-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 is less than or equal to 1) is a dense G[delta]-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[delta]-subset of the space of maps. In this note, we investigate the existence of surjective Bing maps from continua to polyhedra.