Ir al contenido

Documat


Fell type topologies of quasi-pseudo-metric spaces and the Kuratowski-Painlevé convergence

    1. [1] Universitat Politècnica de Vaència
  • Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 2, Nº. 1, 2001, págs. 9-25
  • Idioma: inglés
  • DOI: 10.4995/agt.2001.3011
  • Enlaces
  • Resumen
    • We study the double Fell topology when this hypertopology is constructed over a quasi-pseudo-metric space. In particular, its relationship with the Wijsman hypertopology is studied. We also propose an extension of the Kuratowski-Painlevé convergence in the bitopological setting.

  • Referencias bibliográficas
    • Compactnessandsobrietyinbitopologicalspaces,TopologyProc.22(1997),43{61.
    • Characterizationsofhyperspacesofbitopologicalspaces,TopologyProc.23(1998),27{43.
    • J.M.G.Fell,AHausdor topologyfortheclosedsubsetsofalocallycompactnon-Hausdor space,Proc.Amer.Math.Soc.13(1962),472{476.
    • P.FletcherandW.F.Lindgren,Quasi-UniformSpaces,MarcelDekker,NewYork,1982.
    • J.C.Kelly,Bitopologicalspaces,Proc.LondonMath.Soc.13(1963),71{89.
    • R.Kopperman,TheKhalimskylineasafoundationfordigitaltopology,ProceedingsinofNATOAdvancedResearchWorkshop"ShapeinPicture",Driebergen,TheNetherlands126(1994),3{20.
    • S.RomagueraandM.Schellekens,Quasi-metricpropertiesofcomplexityspaces,TopologyAppl.98(1999),311{322.
    • Thequasi-metricofcomplexityconvergence,QuaestionesMath.23(2000),359{374.
    • M.Schellekens,TheSmythcompletion:Acommonfoundationfordenotationalseman-ticsandcomplexityanalysis,Proc.MFPS11,ElectronicNotesinTheoreticalComputerScience1(1995),211{232.
    • M.B.Smyth,Quasiuniformities:Reconcilingdomainswithmetricspaces,MathematicalFoundationsofProgrammingLanguageSemantics,3rdWorkshop,Tulane1987,LNCS298,eds.M.Mainetal.,Springer,Berlin(1988),236-253.
    • Totallyboundedspacesandcompactorderedspacesasdomainsofcomputation,TopologyandCategoryTheoryinComputerScience,ed.G.M.Reed,A.W.RoscoeandR.F.Wachter,ClarendonPress,Oxford(1991),207{229.
    • R.A.Stoltenberg,Onquasi-metricspaces,DukeMath.J.36(1969),65{71.[23]Ph.Sunderhauf,Constructingaquasi-uniformfunctionspace,TopologyAppl.67(1995),1-27.

Fundación Dialnet

Mi Documat

Opciones de artículo

Opciones de compartir

Opciones de entorno