From contradiction to conciliation: a way to "dualize" sheaves

Dominique Lambert; Bertrand Hespel

From contradiction to conciliation: a way to "dualize" sheaves

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Résumé

Our aim is to give some insights about how to approach the formal description of situa-tions where one has to conciliate several contradictory statements, rules, laws or ideas. Weshow that such a conciliation structure can be naturally defined on a topological space en-dowed with the set of its closed sets and that this specific structure is a kind of “dualization”of the sheaf concept where “global” and “local” levels are reversed.

langue originale	Anglais
Lieu de publication	Namur
Editeur	FUNDP. Namur center for complex systems
Nombre de pages	16
Etat de la publication	Publié - 2011

Série de publications

Nom	NAXYS
Editeur	Namur Center for Complex Systems
Numéro	12-2011

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1106.6194Version finale publiée, 261 KB

Contient cette citation

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author = "Dominique Lambert and Bertrand Hespel",

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AB - Our aim is to give some insights about how to approach the formal description of situa-tions where one has to conciliate several contradictory statements, rules, laws or ideas. Weshow that such a conciliation structure can be naturally defined on a topological space en-dowed with the set of its closed sets and that this specific structure is a kind of “dualization”of the sheaf concept where “global” and “local” levels are reversed.

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From contradiction to conciliation: a way to "dualize" sheaves

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