Krasinkiewicz maps from compacta to polyhedra

Eiichi Matsuhashi

Bulletin of the Polish Academy of Sciences. Mathematics (2006)

  • Volume: 54, Issue: 2, page 137-146
  • ISSN: 0239-7269

Abstract

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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.

How to cite

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Eiichi Matsuhashi. "Krasinkiewicz maps from compacta to polyhedra." Bulletin of the Polish Academy of Sciences. Mathematics 54.2 (2006): 137-146. <http://eudml.org/doc/281090>.

@article{EiichiMatsuhashi2006,
abstract = {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.},
author = {Eiichi Matsuhashi},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {Krasinkiewicz map; component; dense -subset; polyhedron; compactum; continuum; Menger manifold; locally connected continuum},
language = {eng},
number = {2},
pages = {137-146},
title = {Krasinkiewicz maps from compacta to polyhedra},
url = {http://eudml.org/doc/281090},
volume = {54},
year = {2006},
}

TY - JOUR
AU - Eiichi Matsuhashi
TI - Krasinkiewicz maps from compacta to polyhedra
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2006
VL - 54
IS - 2
SP - 137
EP - 146
AB - 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.
LA - eng
KW - Krasinkiewicz map; component; dense -subset; polyhedron; compactum; continuum; Menger manifold; locally connected continuum
UR - http://eudml.org/doc/281090
ER -

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