Induced open projections and C*-smoothness

Włodzimierz J. Charatonik; Alejandro Illanes; Verónica Martínez-de-la-Vega

Colloquium Mathematicae (2013)

  • Volume: 132, Issue: 1, page 73-94
  • ISSN: 0010-1354

Abstract

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We show that there exists a C*-smooth continuum X such that for every continuum Y the induced map C(f) is not open, where f: X × Y → X is the projection. This answers a question of Charatonik (2000).

How to cite

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Włodzimierz J. Charatonik, Alejandro Illanes, and Verónica Martínez-de-la-Vega. "Induced open projections and C*-smoothness." Colloquium Mathematicae 132.1 (2013): 73-94. <http://eudml.org/doc/286630>.

@article{WłodzimierzJ2013,
abstract = {We show that there exists a C*-smooth continuum X such that for every continuum Y the induced map C(f) is not open, where f: X × Y → X is the projection. This answers a question of Charatonik (2000).},
author = {Włodzimierz J. Charatonik, Alejandro Illanes, Verónica Martínez-de-la-Vega},
journal = {Colloquium Mathematicae},
language = {eng},
number = {1},
pages = {73-94},
title = {Induced open projections and C*-smoothness},
url = {http://eudml.org/doc/286630},
volume = {132},
year = {2013},
}

TY - JOUR
AU - Włodzimierz J. Charatonik
AU - Alejandro Illanes
AU - Verónica Martínez-de-la-Vega
TI - Induced open projections and C*-smoothness
JO - Colloquium Mathematicae
PY - 2013
VL - 132
IS - 1
SP - 73
EP - 94
AB - We show that there exists a C*-smooth continuum X such that for every continuum Y the induced map C(f) is not open, where f: X × Y → X is the projection. This answers a question of Charatonik (2000).
LA - eng
UR - http://eudml.org/doc/286630
ER -

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