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.
J. J. Charatonik et al., "Openness of Induced Projections," Proceedings of the American Mathematical Society, American Mathematical Society, Jun 2000.
The definitive version is available at https://doi.org/10.1090/S0002-9939-00-05589-1
Mathematics and Statistics
Keywords and Phrases
C*-Smooth; Continuum; Induced Mapping; Open; Dendrites; Projection
Article - Journal
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