منابع مشابه
Nonproper Products
We show that there exist two proper creature forcings having a simple (Borel) definition, whose product is not proper. We also give a new condition ensuring properness of some forcings with norms.
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Consider a sequence of (compact) embedded minimal disks Σi ⊂ BRi = BRi(0) ⊂ R 3 with ∂Σi ⊂ ∂BRi and either: (a) Ri equal to a finite constant. (b) Ri → ∞. We will refer to (a) as the local case and to (b) as the global case. Recall that a surface Σ ⊂ R is said to be properly embedded if it is embedded and the intersection of Σ with any compact subset of R is compact. We say that a lamination or...
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We construct a sequence of (compact) embedded minimal disks in a ball in R with boundaries in the boundary of the ball and where the curvatures blow up only at the center. The sequence converges to a limit which is not smooth and not proper. If instead the sequence of embedded disks had boundaries in a sequence of balls with radii tending to infinity, then we have shown previously that any limi...
متن کاملOperadic Tensor Products and Smash Products
Let k be a commutative ring. E∞ k-algebras are associative and commutative k-algebras up to homotopy, as codified in the action of an E∞ operad; A∞ k-algebras are obtained by ignoring permutations. Using a particularly well-behaved E∞ algebra, we explain an associative and commutative operadic tensor product that effectively hides the operad: an A∞ algebra or E∞ algebra A is defined in terms of...
متن کاملEuler Products and Twisted Euler Products
We describe in brief some aspects of the Langlands program, focussing on Euler products, and also some new constructions, where Euler products are replaced by twisted Euler products. The twisted Euler products are related to automorphic forms on metaplectic groups. 2000 Mathematics Subject Classification: 11F66, 11F55, 11F70, 11M41, 22E55.
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ژورنال
عنوان ژورنال: Bulletin of the London Mathematical Society
سال: 2011
ISSN: 0024-6093
DOI: 10.1112/blms/bdr094