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Quaestiones Mathematicae

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Interior operators and topological connectedness

G Castellini, J Ramos

Abstract


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 Arhangelskii and Wiegandt’s notions of connectedness and disconnectedness with respect to a subclass of topological spaces. Examples are included.

Quaestiones Mathematicae 33(2010), 290–304



http://dx.doi.org/10.2989/16073606.2010.507322
AJOL African Journals Online