24. An article according to claim 23 , wherein generating the semantic abstract for the content of interest includes: identifying the directed set of concepts as the dictionary; selecting the subset of the chains to form a basis for the dictionary; measuring how concretely the dominant phrases are represented in each chain in the basis and the dictionary; constructing at least one state vector in the topological vector space for each dominant phrase in using the measures of how concretely each dominant phrase is represented in each chain in the dictionary and the basis; and collecting the state vectors into the semantic abstract for the content of interest.
24. An article according to claim 23 , wherein generating the semantic abstract for the content of interest includes: identifying the directed set of concepts as the dictionary; selecting the subset of the chains to form a basis for the dictionary; measuring how concretely the dominant phrases are represented in each chain in the basis and the dictionary; constructing at least one state vector in the topological vector space for each dominant phrase in using the measures of how concretely each dominant phrase is represented in each chain in the dictionary and the basis; and collecting the state vectors into the semantic abstract for the content of interest. 25. An article according to claim 24 , wherein measuring a distance includes measuring a Hausdorff distance between the first semantic abstract and the second semantic abstract.