A+ CATEGORY SCIENTIFIC UNIT

Induced open projections and $C^{\ast }$-smoothness

Volume 132 / 2013

Włodzimierz J. Charatonik, Alejandro Illanes, Verónica Martínez-de-la-Vega Colloquium Mathematicum 132 (2013), 73-94 MSC: Primary 54B20; Secondary 54F15, 54D40, 54C10. DOI: 10.4064/cm132-1-6

Abstract

We show that there exists a $C^{\ast }$-smooth continuum $X$ such that for every continuum $Y$ the induced map $C(f)$ is not open, where $f:X\times Y\rightarrow X$ is the projection. This answers a question of Charatonik (2000).

Authors

  • Włodzimierz J. CharatonikDepartment of Mathematics and Statistics
    Missouri University of
    Science and Technology
    Rolla, MO 65409, U.S.A.
    e-mail
  • Alejandro IllanesInstituto de Matemáticas
    Universidad Nacional Autónoma de México
    Circuito Exterior, Ciudad Universitaria
    México 04510, D.F., México
    e-mail
  • Verónica Martínez-de-la-VegaInstituto de Matemáticas
    Universidad Nacional Autónoma de México
    Circuito Exterior, Ciudad Universitaria
    México 04510, D.F., México
    e-mail

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