Knowledge Spaces and Skill Assignments
The concept of a knowledge space is at the heart of a descriptive model of knowledge in a given body of information. Another model explains the observed knowledge of individuals by latent skills. We here reconcile these two underlying approaches by showing that each finite knowledge space can be generated from a skill assignment that is minimal and unique up to an isomorphism. Some more technicalities are required in the infinite case. Part of the results reformulate theorems from the theory of Galois lattices of relations.
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