Preservation of Ω-bounding Property
نویسنده
چکیده
Definition 1. We say that the partial order P is a projection of the partial order Q and denote this by P Q, if there is an onto mapping π : Q→ P which is order preserving and such that ∀q ∈ Q∀p ∈ P s.t. π(q) ≤ p there is q′ ∈ Q (q ≤Q q′) ∧ (π(q) = p). Furthermore whenever π(q) ≤ p there is a condition q1 in Q which is usually denoted p + q such that q ≤ q1 and for every r ∈ Q such that p ≤ π(r) and q ≤ r we have q1 ≤ r.
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