Ir al contenido

Documat


Resumen de On the parallel between normality and extremal disconnectedness

Francisco Javier Gutierrez García Árbol académico, Jorge Picado

  • Severalfamiliarresultsaboutnormalandextremallydisconnected(classicalorpointfree)spacesshapetheideathatthetwonotionsaresomehowdualtoeachotherandcanthereforebestudiedinparallel.Thispaperinvestigatesthesourceofthis�duality�andshowsthateachpairofparallelresultscanbeframedbythe�same�proof.Thekeytoolsforthispurposearerelativenotionsofnormality,extremaldisconnectedness,semicontinuityandcontinuity(withrespecttoafixedclassofcomplementedsublocalesofthegivenlocale)thatbringandextendtolocaletheoryavarietyofwell-knownclassicalvariantsofnormalityandupperandlowersemicontinuitiesinanilluminatingunifiedmanner.Thisapproachallowsustounifyunderasinglelocalicproofallclassicalinsertion,aswellastheircorrespondingextensionresults.


Fundación Dialnet

Mi Documat