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Technical University of Crete
Technical University of Crete
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| URI | http://purl.tuc.gr/dl/dias/B11BE818-4C4F-4903-82AD-905E7E76A871 | - |
| Identifier | http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.433.7001&rep=rep1&type=pdf | - |
| Language | en | - |
| Title | Continua which are images of weakly confluent mappings only | en |
| Creator | Gryspolakis Ioakeim | en |
| Creator | Γρυσπολακης Ιωακειμ | el |
| Creator | Tymchatyn E.D. | en |
| Content Summary | Continua which are in Class (W) (i.e. images of weakly confluent mappings only) were introduced by A. Lelek. Many classes of continua have been shown to be in Class (W). Recently the authors characterized Class (W) in terms of a covering property of hyperpspaces as well as in terms of an embedding property. They had also given some geometric conditions which imply Class (W). In this paper an attempt is made to show that certain geometric properties are also necessary for being in Class (W). It is shown that planar continua in Class (W) are atriodic, and that being in Class (W) is not a Whitney property. Finally, there are given some characterizations for these continua which are images of pseudo confluent mappings only. | en |
| Type of Item | Peer-Reviewed Journal Publication | en |
| Type of Item | Δημοσίευση σε Περιοδικό με Κριτές | el |
| License | http://creativecommons.org/licenses/by/4.0/ | en |
| Date of Item | 2015-12-01 | - |
| Date of Publication | 1980 | - |
| Subject | Mathematics | en |
| Bibliographic Citation | J. Grispolakis and E. D. Tymchatyn, "Continua which are images of weakly confluent mappings only", Houston Journal of Mathematics, vol. 6, no. 3, pp. 483-502, 1980. | en |
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