Ramos-Figueroa, Josean

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    Interior operator theory in topology and algebra
    (2009-06) Ramos-Figueroa, Josean; Castellini, Gabriele; College of Arts and Sciences - Sciences; Cáceres, Luis F.; Lorenzo González, Edgardo; Department of Mathematics; Bejarano, Luis
    A 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.