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sav08:galois_connection_on_lattices [2008/05/07 10:03] vkuncak |
sav08:galois_connection_on_lattices [2008/05/07 10:12] vkuncak |
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* $\alpha$ is a [[wk>surjective function]] | * $\alpha$ is a [[wk>surjective function]] | ||
* $\gamma$ is an [[wk>injective function]] | * $\gamma$ is an [[wk>injective function]] | ||
+ | |||
+ | ===== Using Galois Connection ===== | ||
+ | |||
+ | Define $sp^\#$ using $\alpha$ and $\gamma$: | ||
+ | ++++| | ||
+ | \[ | ||
+ | sp^\#(a,r) = \alpha(sp(\gamma(a),r) | ||
+ | \] | ||
+ | ++++ | ||