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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Abstract

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.

Original language	English
Place of Publication	Namur
Publisher	FUNDP. Namur center for complex systems
Number of pages	16
Publication status	Published - 2011

Publication series

Name	NAXYS
Publisher	Namur Center for Complex Systems
No.	12-2011

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1106.6194Final published version, 261 KB

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AU - Hespel, Bertrand

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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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