Abstract
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.
Recommended Citation
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
Department(s)
Mathematics and Statistics
Keywords and Phrases
C*-Smooth; Continuum; Induced Mapping; Open; Dendrites; Projection
International Standard Serial Number (ISSN)
0002-9939
Document Type
Article - Journal
Document Version
Final Version
File Type
text
Language(s)
English
Rights
© 2000 American Mathematical Society, All rights reserved.
Publication Date
01 Jun 2000