Openness of induced projections
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.
| Authors: | , , |
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| Format: | article |
| Status: | Published version |
| Publication Date: | 2000 |
| Country: | México |
| Institution: | Universidad Nacional Autónoma de México |
| Repository: | Sistema de Información de la Facultad de Ciencias, UNAM |
| OAI Identifier: | oai:repositorio.fciencias.unam.mx:11154/2041 |
| Online Access: | http://hdl.handle.net/11154/2041 |
| Access Level: | Open access |
| Keyword: | Mathematics, Applied Mathematics continuum dendrite induced mapping open projection C-smooth |
| Summary: | 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. |
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