Openness of Induced Projections

J. J. Charatonik
W. J. Charatonik, Missouri University of Science and Technology
Alejandro Illanes

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For continua X and Y it is shown that if the projection f : X x Y ->X has its induced mapping C(f) open, then X is C*-smooth. As a corollary, a characterization of dendrites in these terms is obtained.