Abstract

MUNOZ-QUINONES, GERARDO. Galois Conections, Chu Mappings and Bonds. Rev.colomb.mat. [online]. 2014, vol.48, n.1, pp.21-40. ISSN 0034-7426.  https://doi.org/10.15446/recolma.v48n1.45193.

In this paper we characterize bonds, as defined by Wille, by employing a less rigid set of axioms thus enabling the definition of the category BOND. Since bonds generalize Chu mappings we present a faithful functor between CHU and BOND. Moreover, we propose the Galois morphisms generalizing bonds; this allows us to define the category MGI. Lastly, we suggest a general method to construct categories of adjunctions from any given category. The category of adjunctions generated from the category of order-preserving Galois connections, named MGP, turns out to be equivalent to the category MGI.

Keywords : Galois connections; Bonds; Chu mappings.

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