Well-posedness, bornologies, and the structure of metric spaces
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| dc.contributor.author | Beer, Gerald
|
es_ES |
| dc.contributor.author | Segura, Manuel
|
es_ES |
| dc.date.accessioned | 2017-09-06T11:59:49Z | |
| dc.date.available | 2017-09-06T11:59:49Z | |
| dc.date.issued | 2009-04-01 | |
| dc.identifier.issn | 1576-9402 | |
| dc.identifier.uri | http://hdl.handle.net/10251/86555 | |
| dc.description.abstract | [EN] Given a continuous nonnegative functional λ that makes sense defined on an arbitrary metric space (X, d), one may consider those spaces in which each sequence (xn) for which lim n→∞λ(xn) = 0 clusters. The compact metric spaces, the complete metric spaces, the cofinally complete metric spaces, and the UC-spaces all arise in this way. Starting with a general continuous nonnegative functional λ defined on (X, d), we study the bornology Bλ of all subsets A of X on which limn→∞λ(an) = 0 ⇒ (an) clusters, treating the possibility X ∈ Bλ as a special case. We characterize those bornologies that can be expressed as Bλ for some λ, as well as those that can be so induced by a uniformly continuous λ. | es_ES |
| dc.description.sponsorship | This research was supported by the following grant: NIH MARC U*STAR GM08228 | |
| dc.language | Inglés | es_ES |
| dc.publisher | Universitat Politècnica de València | |
| dc.relation.ispartof | Applied General Topology | |
| dc.rights | Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) | es_ES |
| dc.subject | Well-posed problem | es_ES |
| dc.subject | Bornology | es_ES |
| dc.subject | UC-space | es_ES |
| dc.subject | Cofinally complete space | es_ES |
| dc.subject | Strong uniform continuity | es_ES |
| dc.subject | ornological convergence | es_ES |
| dc.subject | Shielded from closed sets | es_ES |
| dc.title | Well-posedness, bornologies, and the structure of metric spaces | es_ES |
| dc.type | Artículo | es_ES |
| dc.date.updated | 2017-09-06T11:23:33Z | |
| dc.identifier.doi | 10.4995/agt.2009.1793 | |
| dc.relation.projectID | info:eu-repo/grantAgreement/NIH//GM08228/ | es_ES |
| dc.rights.accessRights | Abierto | es_ES |
| dc.description.bibliographicCitation | Beer, G.; Segura, M. (2009). Well-posedness, bornologies, and the structure of metric spaces. Applied General Topology. 10(1):131-157. https://doi.org/10.4995/agt.2009.1793 | es_ES |
| dc.description.accrualMethod | SWORD | es_ES |
| dc.relation.publisherversion | https://doi.org/10.4995/agt.2009.1793 | es_ES |
| dc.description.upvformatpinicio | 131 | es_ES |
| dc.description.upvformatpfin | 157 | es_ES |
| dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
| dc.description.volume | 10 | |
| dc.description.issue | 1 | |
| dc.identifier.eissn | 1989-4147 | |
| dc.contributor.funder | National Institutes of Health, EEUU | |
| dc.contributor.funder | National Institute of General Medical Sciences, EEUU |
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