Orde tramped out to the end of the pier and back, mulling over the tangled problem.
"The Riverman" by Stewart Edward White
This street began at the top of a low, long hill eight blocks above the Orde place and ended three blocks below.
"The Adventures of Bobby Orde" by Stewart Edward White
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Collectively, the greatest and least elements of [n] are its end points. A morphism in Ord whose domain is a complete lattice has a left adjoint if and only if it preserves the least upper bound and has right adjoint if and only if it preserves the greatest lower bound.
On the duality between trees and disks
The above proof is slightly sloppy in the sense that, after blow up, we may end up having ord eP ( fape ) = pe and In eP ( fape ) = cexpe for some c ∈ k× , even under the condition eP ∈ π−1 (P ) ∩ Supp( eR) ⊂ fW and the assumption that the invariant σ stays the same.
Resolution of singularities of an idealistic filtration in dimension 3 after Benito-Villamayor
Note that, even under the condition eP ∈ π−1 (P ) ∩ Supp( eR) ⊂ fW and the assumption that the invariant σ stays the same, there is a possibility that we may end up having ord eP ( fape ) = pe and In eP ( fape ) = ceype for some c ∈ k× .
Resolution of singularities of an idealistic filtration in dimension 3 after Benito-Villamayor
Note that, even under the condition eP ∈ π−1 (P ) ∩ Supp( eR) ⊂ fW and the assumption that the invariant σ stays the same, there is a possibility that we may end up having ord eP ( fape ) = pe and In eP ( fape ) = ceype for some c ∈ k× .
Resolution of singularities of an idealistic filtration in dimension 3 after Benito-Villamayor
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