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On the connectedness of a random closed set of a Euclidean space
| dc.contributor.author | Salamanca, Juan J. | |
| dc.contributor.author | Herrera, Jónatan | |
| dc.contributor.author | Rubio, Rafael M. | |
| dc.date.accessioned | 2024-01-30T11:18:36Z | |
| dc.date.available | 2024-01-30T11:18:36Z | |
| dc.date.issued | 2022 | |
| dc.identifier.uri | http://hdl.handle.net/10396/26830 | |
| dc.description | Embargado hasta 30/08/2024 | es_ES |
| dc.description.abstract | Our aim is to obtain a suitable characterization of certain topological properties of a random closed set through its capacity functional. The main technique mixes two different fields: on the one hand, the abstract simplicial complex associated to a covering, whose topology coincides with the topology of the original set thanks to the nerve theorem. On the other hand, the celebrated Choquet-Kendall-Matheron theorem, which states that a random closed set is characterized by its capacity functional. © 2021 Elsevier B.V. All rights reserved | es_ES |
| dc.format.mimetype | application/pdf | es_ES |
| dc.language.iso | eng | es_ES |
| dc.publisher | Elsevier | es_ES |
| dc.rights | https://creativecommons.org/licenses/by-nc-nd/4.0/ | es_ES |
| dc.source | Salamanca, J. J., Herrera, J., & Rubio, R. M. (2022). On the connectedness of a random closed set of a Euclidean space. Fuzzy Sets and Systems, 443, 127-136. https://doi.org/10.1016/j.fss.2021.09.024 | es_ES |
| dc.subject | Random closed set | es_ES |
| dc.subject | Capacity functional | es_ES |
| dc.subject | Simplicial complex | es_ES |
| dc.subject | Topology | es_ES |
| dc.title | On the connectedness of a random closed set of a Euclidean space | es_ES |
| dc.type | info:eu-repo/semantics/article | es_ES |
| dc.relation.publisherversion | https://doi.org/10.1016/j.fss.2021.09.024 | es_ES |
| dc.relation.projectID | Gobierno de España. PGC2018-098623-B-I00 | es_ES |
| dc.relation.projectID | Junta de Andalucía. PY20-01391 | es_ES |
| dc.rights.accessRights | info:eu-repo/semantics/embargoedAccess | es_ES |
| dc.date.embargoEndDate | info:eu-repo/date/embargoEnd/2024-08-30 |
