Lecture 3: Abstract Quasiminimality
نویسنده
چکیده
Assumption 2 (Condition I) Let K be a class of L-structures which admit a monotone idempotent closure operation cl taking subsets of M ∈ K to substructures of M such that cl has finite character. Strictly speaking, we should write clM (X) rather than cl(X) but we will omit the M where it is clear from context. Definition 3 Let A be a subset of H, H ′ ∈ K. A map from X ⊂ H − A to X ′ ⊂ H ′ − A is called a partial A-monomorphism if its union with the identity map on A preserves quantifier free formulas.
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