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Title: The set of zeros for a given copula Authors:  Enrique de Amo - University of Almeria (Spain) [presenting]
Juan Fernandez Sanchez - Universidad de Almeria (Spain)
Manuel Ubeda Flores - University of Almeria (Spain)
Abstract: Sufficient and necessary conditions are provided for a given set to be the zero-set for a suitable given copula. The role of $k$-negations is exploited in this target. We also study several topological properties and the lattice-theoretic structure, and characterize the zero-sets of the class of Archimedean copulas.