CL(R) is simply connected under the Vietoris topology
[EN] In this paper we present a proof by construction that the hyperspace CL(R) of closed, nonemtpy subsets of R is simply connected under the Vietoris topology. This is useful in considering the convergence of time scales. We also present a construction of the (known) fact that this hyperspace is a...
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| Format: | article |
| Publication Date: | 2007 |
| Country: | España |
| Institution: | Universitat Politècnica de València (UPV) |
| Repository: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Language: | English |
| OAI Identifier: | oai:riunet.upv.es:10251/83073 |
| Online Access: | https://riunet.upv.es/handle/10251/83073 |
| Access Level: | Open access |
| Keyword: | Hyperspace Vietoris topology Simply connected Path connected Time scales |
| Summary: | [EN] In this paper we present a proof by construction that the hyperspace CL(R) of closed, nonemtpy subsets of R is simply connected under the Vietoris topology. This is useful in considering the convergence of time scales. We also present a construction of the (known) fact that this hyperspace is also path connected, as part of the proof. |
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