Articles

Interior Operators and Topological Connectedness

Published in: Quaestiones Mathematicae
Volume 33 , issue 3 , 2010 , pages: 290–304

DOI: 10.2989/16073606.2010.507322

Author(s): G. Castellini Department of Mathematical Sciences, U.S.A. , J. Ramos Department of Mathematical Sciences, U.S.A.

Keywords: Interior operator , connectedness , disconnectedness , constant morphism , Galois connection

Download full text Get new issue alerts

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.

« Conformal Mapping of a Gear Domain with One Tooth

Quadratic Pencil of Difference Equations: Jost Solutions, Spectrum, and Principal Vectors »