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http://hdl.handle.net/11154/2152
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| Title: | Openness of induced mappings |
| Authors: | Charatonik, JJ
Charatonik, WJ
Illanes, A |
| Issue Date: | 1999 |
| Abstract: | Openness of induced mappings between hyperspaces of continua is studied. In particular we investigate continua X such that if for a mapping f:X --> Y the induced mapping C(f):C(X) --> C(Y) is open, then f is a homeomorphism. It is shown that, besides hereditarily locally connected continua, ail fans have this property, while some Cartesian products do not have it. If f: X x Y --> X denotes the natural projection, then openness of C(f) implies that X is hereditarily unicoherent. The equivalence holds for dendrites. Some new characterizations of these curves are obtained. (C) 1999 Elsevier Science B.V. All rights reserved. |
| URI: | http://hdl.handle.net/11154/2152 |
| ISSN: | 0166-8641 |
| Appears in Collections: | Ciencias
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