Institutional Repository
Technical University of Crete
Technical University of Crete
EN
|
EL
| URI | http://purl.tuc.gr/dl/dias/ADF56840-C61F-4EA1-96E5-83E78CE3609B | - |
| Language | en | - |
| Title | Continua which admit only certain classes of onto mappings | en |
| Creator | Gryspolakis Ioakeim | en |
| Creator | Γρυσπολακης Ιωακειμ | el |
| Creator | Tymchatyn E.D. | en |
| Content Summary | The purpose of this article is to present a rather com plete study of those classes of continua which admit only confluent (resp. semi-confluent, weakly confluent, pseudo-confluent) onto mappings. The first results were obtained by H. Cook [3] who proved that if X is a hereditarily inde composable continuum, then every mapping from any continuum onto X is confluent, and by D. R. Read [20] who proved that the converse is true, that is, if X is a continuum such that every mapping from any continuum onto X is confluent, then X is hereditarily indecomposable. In what follows we study the class of continua X with the property that every mapping from any continuum onto X is weakly confluent. Finally, at the end of the paper we study the classes of continua X with the property that every mapping from any continuum onto X is semi-confluent (resp., pseudo-confluent>. 1. Definitions and Preliminaries By a continuum is meant a connected, compact, metric space. By a mapping is always meant a continuous function. A mapping f: X ~ Y of a continuum X onto a continuum Y is said to be confluent [2], semi-confluent [18], or weakly lThe first author was supported by a University of Saskatchewan postdoctoral fellowship. | 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 | 1978 | - |
| Subject | Topology | en |
| Bibliographic Citation | J. Grispolakis and E.D. Tymchatyn, "Continua which admit only certain classes of onto mappings", Topology Proceedings, vol. 3, pp. 347-362, 1978. | en |
Copyright © DIAS 2013
