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dc.contributor.advisorCastellini, Gabriele
dc.contributor.authorRamos-Figueroa, Josean
dc.description.abstractA categorical notion of interior operator is used in topology to define connectedness and disconnectedness with respect to an interior operator. A commutative diagram of Galois connections is used to show a relationship between these notions and the notions of connectedness and disconnectedness with respect to a subclass of topological spaces introduced by Arhangel’skii and Wiegandt.
dc.description.abstractUna noción categórica de operadores de interior se utiliza en la categoría de espacios topológicos para definir espacios conectados y desconectados con respecto a un operador de interior. Se presenta un diagrama conmutativo de conexiones de Galois para describir la relación entre las ideas anteriores y las nociones de conexión y desconexión con respecto a una subclase de espacios topológicos introducidas por Arhangel’skii and Wiegandt.
dc.subjectInterior operatoren_US
dc.subjectTopological spacesen_US
dc.subjectGalois diagramen_US
dc.subject.lcshFactorization (Mathematics)en_US
dc.subject.lcshOperator theoryen_US
dc.subject.lcshOperator algebrasen_US
dc.subject.lcshGalois theoryen_US
dc.titleInterior operator theory in topology and algebraen_US
dc.rights.licenseAll rights reserveden_US
dc.rights.holder(c)2009 Josean Ramos Figueroaen_US
dc.contributor.committeeCáceres, Luis F.
dc.contributor.committeeLorenzo González, Edgardo
dc.contributor.representativeBejarano, Luis Mathematicsen_US
dc.contributor.collegeCollege of Arts and Sciences - Sciencesen_US
dc.contributor.departmentDepartment of Mathematicsen_US

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