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Adjunctions on the lattice of hierarchies

Fernand Meyer


Hierarchical segmentation produces not a fixed partition but a series of nested partitions, also called hierarchy. The structure of a hierarchy is univocally expressed by an ultrametric 1/2-distance. The lattice structure of hierarchies is equivalent with the lattice structure of their ultrametric 1/2-distances. The hierarchies form a complete sup- and inf- generated lattice on which an adjunction can be defined.
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hal-00566714 , version 1 (16-02-2011)


  • HAL Id : hal-00566714 , version 1


Fernand Meyer. Adjunctions on the lattice of hierarchies. 2011. ⟨hal-00566714⟩
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