Parametrizing the Theory of Closure Operators

Jürgen Koslowski ()
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Jürgen Koslowski: TU Braunschweig, Institut für Theoretische Informatik

A chapter in Categorical Topology, 1996, pp 163-174 from Springer

Abstract: Abstract We present a streamlined treatment of Z-modal closure operators. Originally introduced to facilitate the integration of modal closure operators (induced, e. g., by Grothendieck topologies) into the classical theory of closure operators, this notion and its dual also provides insight into the structure of the lattice of all closure operators. A suitable adjustment of the notion of orthogonality between composable pairs enables us to develop the theory to a large extent parallel to the theory of all closure operators.

Keywords: (E; M)-category for sinks; orthogonality relation; closure operator (search for similar items in EconPapers)
Date: 1996
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-009-0263-3_16

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DOI: 10.1007/978-94-009-0263-3_16

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