Geodesic
Induced open projections and $C^{\ast }$-smoothness
Włodzimierz J. Charatonik 1   ; Alejandro Illanes 2   ; Verónica Martínez-de-la-Vega 2
1 Department of Mathematics and Statistics Missouri University of Science and Technology Rolla, MO 65409, U.S.A.
2 Instituto de Matemáticas Universidad Nacional Autónoma de México Circuito Exterior, Ciudad Universitaria México 04510, D.F., México
Colloquium Mathematicum, Tome 132 (2013) no. 1, pp. 73-94 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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).
DOI : 10.4064/cm132-1-6
Keywords: there exists ast smooth continuum every continuum induced map where times rightarrow projection answers question charatonik nbsp

Włodzimierz J. Charatonik  1   ; Alejandro Illanes  2   ; Verónica Martínez-de-la-Vega  2

1 Department of Mathematics and Statistics Missouri University of Science and Technology Rolla, MO 65409, U.S.A.
2 Instituto de Matemáticas Universidad Nacional Autónoma de México Circuito Exterior, Ciudad Universitaria México 04510, D.F., México 
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Włodzimierz J. Charatonik; Alejandro Illanes; Verónica Martínez-de-la-Vega. Induced open projections and $C^{\ast }$-smoothness. Colloquium Mathematicum, Tome 132 (2013) no. 1, pp. 73-94. doi: 10.4064/cm132-1-6

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