Weightable quasi-uniformities
Mostrar el registro sencillo del ítem
| dc.contributor.author | Romaguera Bonilla, Salvador
|
es_ES |
| dc.contributor.author | Kuenzi, H. -P. A.
|
es_ES |
| dc.date.accessioned | 2013-07-05T09:00:18Z | |
| dc.date.issued | 2012 | |
| dc.identifier.issn | 0236-5294 | |
| dc.identifier.uri | http://hdl.handle.net/10251/30665 | |
| dc.description.abstract | [EN] The authors study quasi-uniformities that are generated by a family of weightable quasi-pseudometrics. Each totally bounded quasi-uniformity is of this kind. In some sense, which is described in this article, a weightable quasi-uniformity is fairly symmetric, with the associated weights generating small symmetrizers. In the second part of the article we continue our investigations by generalizing a subclass of weightable quasi-uniformities to a more abstract level. We introduce the concept of a t-symmetrizable quasi-uniformity, that is, a quasi-uniformity possessing the property that there exists a totally bounded quasi-uniformity such that is a uniformity. It turns out that t-symmetrizable quasi-uniformities are closely related to quasi-uniformities generated by weightable quasi-pseudometrics possessing bounded weight functions. We show that several results that were originally proved for weightable quasi-pseudometrics (with bounded weights) still hold in a such apparently broader context. | es_ES |
| dc.description.sponsorship | The first author would like to thank the South African National Research Foundation for partial financial support. The second author thanks the support of the Spanish Ministry of Science and Innovation, grant MTM2009-12872-C02-01. | en_EN |
| dc.language | Inglés | es_ES |
| dc.publisher | Springer Verlag | es_ES |
| dc.relation.ispartof | Acta Mathematica Hungarica | es_ES |
| dc.rights | Reserva de todos los derechos | es_ES |
| dc.subject | Weightable quasi-pseudometric | es_ES |
| dc.subject | Weightable quasi-uniformity | es_ES |
| dc.subject | T-symmetrizable quasi-uniformity | es_ES |
| dc.subject | Wijsman quasi-pseudometric | es_ES |
| dc.subject | Totally bounded | es_ES |
| dc.subject.classification | MATEMATICA APLICADA | es_ES |
| dc.title | Weightable quasi-uniformities | es_ES |
| dc.type | Artículo | es_ES |
| dc.embargo.lift | 10000-01-01 | |
| dc.embargo.terms | forever | es_ES |
| dc.identifier.doi | 10.1007/s10474-012-0213-8 | |
| dc.relation.projectID | info:eu-repo/grantAgreement/MICINN//MTM2009-12872-C02-01/ES/Construccion De Casi-Metricas Fuzzy, De Distancias De Complejidad Y De Dominios Cuantitativos. Aplicaciones/ | es_ES |
| dc.rights.accessRights | Cerrado | es_ES |
| dc.contributor.affiliation | Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada | es_ES |
| dc.description.bibliographicCitation | Romaguera Bonilla, S.; Kuenzi, H-A. (2012). Weightable quasi-uniformities. Acta Mathematica Hungarica. 136:107-128. https://doi.org/10.1007/s10474-012-0213-8 | es_ES |
| dc.description.accrualMethod | S | es_ES |
| dc.relation.publisherversion | http://dx.doi.org/10.1007/s10474-012-0213-8 | es_ES |
| dc.description.upvformatpinicio | 107 | es_ES |
| dc.description.upvformatpfin | 128 | es_ES |
| dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
| dc.description.volume | 136 | es_ES |
| dc.relation.senia | 229745 | |
| dc.identifier.eissn | 1588-2632 | |
| dc.contributor.funder | Ministerio de Ciencia e Innovación | es_ES |
| dc.contributor.funder | National Research Foundation, South Africa | es_ES |
| dc.description.references | H. R. Bennett and D. J. Lutzer, A note on weak θ-refinability, Gen. Top. Appl., 2 (1972), 49–54. | es_ES |
| dc.description.references | J. Cao and J. Rodríguez-López, On hyperspace topologies via distance functionals in quasi-metrics spaces, Acta Math. Hungar., 112 (2006), 249–268. | es_ES |
| dc.description.references | E. Colebunders, S. De Wachter and B. Lowen, Intrinsic approach spaces on domains, Topology Appl., 158 (2011), 2343–2355. | es_ES |
| dc.description.references | P. Fletcher and W. F. Lindgren, Quasi-uniform Spaces, Dekker (New York, 1982). | es_ES |
| dc.description.references | R. Heckmann, Approximation of metric spaces by partial metric spaces, Appl. Categ. Structures, 7 (1999), 71–83. | es_ES |
| dc.description.references | J. L. Hursch, Jr., Proximity and height, Math. Scand., 17 (1965), 150–160. | es_ES |
| dc.description.references | R. Kopperman, S. Matthews and H. Pajoohesh, Partial metrizability in value quantales, Appl. General Topology, 5 (2004), 115–127. | es_ES |
| dc.description.references | H.-P. A. Künzi, Functorial admissible quasi-uniformities on topological spaces, Topology Appl., 43 (1992), 27–36. | es_ES |
| dc.description.references | H.-P. A. Künzi, Nonsymmetric topology, in: Topology with Applications, Bolyai Society Mathematical Studies 4 (Szekszárd, Hungary, 1993), pp. 303–338. | es_ES |
| dc.description.references | H.-P. A. Künzi, Nontransitive quasi-uniformities in the Pervin quasi-proximity class, Proc. Amer. Math. Soc., 130 (2002), 3725–3730. | es_ES |
| dc.description.references | H.-P. A. Künzi, An introduction to quasi-uniform spaces, in: F. Mynard and E. Pearl (Eds.) Beyond Topology, Contemp. Math. 486 (2009), pp. 239–304. | es_ES |
| dc.description.references | H.-P. A. Künzi and V. Vajner, Weighted quasi-metrics, in: Proceedings of the 8th Summer Conference on Topology and its Applications, Ann. New York Acad. Sci. 728 (1994), pp. 64–77. | es_ES |
| dc.description.references | S. G. Matthews, Partial metric topology, in: Proceedings of the 8th Summer Conference on Topology and its Applications, Ann. New York Acad. Sci. 728 (1994), pp. 183–197. | es_ES |
| dc.description.references | S. Oltra, S. Romaguera and E. A. Sánchez-Pérez, Bicompleting weightable quasi-metric spaces and partial metric spaces, Rend. Circ. Mat. Palermo (2), 51 (2002), 151–162. | es_ES |
| dc.description.references | S. J. O’Neill, Partial metrics, valuations, and domain theory, in: Proceedings of 11th Summer Conference on Topology and its Applications, Ann. New York Acad. Sci. 806 (1996), pp. 304–315. | es_ES |
| dc.description.references | J. Rodríguez-López and S. Romaguera, Wijsman and hit-and-miss topologies of quasi-metric spaces, Set-valued Analysis, 11 (2003), 323–344. | es_ES |
| dc.description.references | J. Rodríguez-López and S. Romaguera, Hypertopologies and asymmetric topology, in: G. di Maio and S. Naimpally (Eds.) Theory and Applications of Proximity, Nearness and Uniformity, Quaderni di Matematica 22 (2009), pp. 315–364. | es_ES |
| dc.description.references | S. Salbany and S. Romaguera, On countably compact quasi-pseudometrizable spaces, J. Austral. Math. Soc. (Series A), 49 (1990), 231–240. | es_ES |
| dc.description.references | M. P. Schellekens, A characterization of partial metrizability: domains are quantifiable, Theoret. Comput. Sci., 305 (2003), 409–432. | es_ES |
| dc.description.references | M. P. Schellekens, The correspondence between partial metrics and semivaluations, Theoret. Comput. Sci., 315 (2004), 135–149. | es_ES |
| dc.description.references | E. Szpilrajn, Sur l’extension de l’ordre partiel, Fund. Math., 16 (1930), 386–389. | es_ES |
| dc.description.references | P. Vitolo, The representation of weighted quasi-metric spaces, Rend. Istit. Mat. Univ. Trieste, 31 (1999), 95–100. | es_ES |
| dc.description.references | P. Waszkiewicz, The local triangle axiom in topology and domain theory, Appl. General Topology, 4 (2003), 47–70. | es_ES |
| dc.relation.references | 10.1016/0016-660X(72)90035-9 | es_ES |
| dc.relation.references | 10.1007/s10474-006-0077-x | es_ES |
| dc.relation.references | 10.1016/j.topol.2011.01.025 | es_ES |
| dc.relation.references | 10.1023/A:1008684018933 | es_ES |
| dc.relation.references | 10.7146/math.scand.a-10769 | es_ES |
| dc.relation.references | 10.4995/agt.2004.2000 | es_ES |
| dc.relation.references | 10.1016/0166-8641(92)90151-O | es_ES |
| dc.relation.references | 10.1090/S0002-9939-02-06477-8 | es_ES |
| dc.relation.references | 10.1090/conm/486/09511 | es_ES |
| dc.relation.references | 10.1007/BF02871458 | es_ES |
| dc.relation.references | 10.1023/A:1025675400451 | es_ES |
| dc.relation.references | 10.1017/S1446788700030500 | es_ES |
| dc.relation.references | 10.1016/S0304-3975(02)00705-3 | es_ES |
| dc.relation.references | 10.1016/j.tcs.2003.11.016 | es_ES |
| dc.relation.references | 10.4064/fm-16-1-386-389 | es_ES |
| dc.relation.references | 10.4995/agt.2003.2009 | es_ES |
Ficheros en el ítem
