On Tychonoff-type hypertopologies
| dc.creator | Dimov, Georgi | |
| dc.creator | Obersnel, Franco | |
| dc.creator | Tironi, Gino | |
| dc.date | 2002-04-10 | |
| dc.date.accessioned | 2026-07-07T04:47:33Z | |
| dc.date.available | 2026-07-07T04:47:33Z | |
| dc.description | In 1975, M. M. Choban introduced a new topology on the set of all closed subsets of a topological space, similar to the Tychonoff topology but weaker than it. In 1998, G. Dimov and D. Vakarelov used a generalized version of this new topology, calling it Tychonoff-type topology. The present paper is devoted to a detailed study of Tychonoff-type topologies on an arbitrary family M of subsets of a set X. When M contains all singletons, a description of all Tychonoff-type topologies O on M is given. The continuous maps of a special form between spaces of the type (M,O) are described in an isomorphism theorem. The problem of commutability between hyperspaces and subspaces with respect to a Tychonoff-type topology} is investigated as well. Some topological properties of the hyperspaces (M,O) with Tychonoff-type topologies O are briefly discussed. | |
| dc.description | 20 pages | |
| dc.identifier | https://arxiv.org/abs/math/0204121 | |
| dc.identifier | http://arxiv.org/abs/math/0204121 | |
| dc.identifier | Proceedings of the Ninth Prague Topological Symposium, (Prague, 2001), pp. 51--70, Topology Atlas, Toronto, 2002 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63764 | |
| dc.subject | General Topology | |
| dc.subject | 54B20, 54B05 Primary 54B30, 54D10, 54G99 Secondary | |
| dc.title | On Tychonoff-type hypertopologies | |
| dc.type | text |