Squares of Oppositions, Commutative Diagrams, and Galois Connections for Topological Spaces and Similarity Structures

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Abstract
The aim of this paper is to elucidate the relationship between Aristotelian conceptual oppositions, commutative diagrams of relational structures, and Galois connections.This is done by investigating in detail some examples of Aristotelian conceptual oppositions arising from topological spaces and similarity structures. The main technical device for this endeavor is the notion of Galois connections of order structures.
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First archival date: 2015-11-21
Latest version: 2 (2016-01-03)
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References found in this work BETA
Category Theory.Awodey, Steve
The Power of the Hexagon.Béziau, Jean-Yves
Why the Logical Hexagon?Moretti, Alessio
Continuous Lattices and Domains.Gierz, G.; Hofmann, K. H.; Keimel, K.; Lawson, J. D.; Mislove, M. W. & Scott, D. S.

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2015-07-24

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