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arxiv: 1303.2572 · v1 · pith:NNEHREV2new · submitted 2013-03-11 · 🧮 math.LO

From A1 to D5: Towards a Forcing-Related Classification of Relational Structures

classification 🧮 math.LO
keywords classificationforcing-relatedrelationalstructuresbinarycopiescorrespondingcountable
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We investigate the partial orderings of the form (P(X),\subset), where X is a relational structure and P(X) the set of the domains of its isomorphic substructures. A rough classification of countable binary structures corresponding to the forcing-related properties of the posets of their copies is obtained.

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