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searching for Compactness theorem 20 found (103 total)

alternate case: compactness theorem

Rellich–Kondrachov theorem (525 words) [view diff] exact match in snippet view article find links to article

a convergent subsequence. (However, today the customary name is "compactness theorem", whereas "selection theorem" has a precise and quite different meaning
Delta-convergence (542 words) [view diff] exact match in snippet view article find links to article
convex Banach spaces, to the well-known Opial property The Delta-compactness theorem of T. C. Lim states that if ( X , d ) {\displaystyle (X,d)} is an
Flat convergence (485 words) [view diff] no match in snippet view article find links to article
In mathematics, flat convergence is a notion for convergence of submanifolds of Euclidean space. It was first introduced by Hassler Whitney in 1957, and
Intrinsic flat distance (891 words) [view diff] exact match in snippet view article find links to article
manifold then the SWIF limit exists and has the same limit. Wenger's compactness theorem states that if a sequence of compact Riemannian manifolds, Mj, has
Plateau's problem (927 words) [view diff] exact match in snippet view article find links to article
\Delta )} -minimal sets of Frederick Almgren, but the lack of a compactness theorem makes it difficult to prove the existence of an area minimizer. In
Regulated function (1,024 words) [view diff] exact match in snippet view article find links to article
X is a separable Hilbert space, then Reg([0, T]; X) satisfies a compactness theorem known as the Fraňková–Helly selection theorem. The set of discontinuities
Peter Shalen (502 words) [view diff] exact match in snippet view article find links to article
structures. III. Actions of 3-manifold groups on trees and Thurston's compactness theorem. Annals of Mathematics (2) 127 (1988), no. 3, 457–519. "Stuyvesant
Luigi Ambrosio (573 words) [view diff] exact match in snippet view article find links to article
Differential Equations). Ambrosio, Luigi (16 February 2015). "A compactness theorem for a new class of functions of bounded variation". Bollettino dell'unione
Marcel Riesz (1,314 words) [view diff] exact match in snippet view article find links to article
Hanche-Olsen, Harald; Holden, Helge (2010). "The Kolmogorov–Riesz compactness theorem". Expositiones Mathematicae. 28 (4): 385–394. arXiv:0906.4883. doi:10
Richard S. Hamilton (2,769 words) [view diff] exact match in snippet view article find links to article
Cheeger's compactness theory for Riemannian manifolds to give a compactness theorem for sequences of Ricci flows.[H95a] Given a Ricci flow on a closed
Ennio de Giorgi (2,102 words) [view diff] exact match in snippet view article find links to article
own version of geometric measure theory along with a related key compactness theorem. With these results, he was able to conclude that a minimal hypersurface
Poincaré conjecture (4,266 words) [view diff] exact match in snippet view article find links to article
their published paper made use of an incorrect version of Hamilton's compactness theorem for Ricci flow. Huai-Dong Cao and Xi-Ping Zhu published a paper in
Fernando Codá Marques (1,722 words) [view diff] exact match in snippet view article find links to article
May 2016. Khuri, M. A., Marques, F. C., & Schoen, R. M. (2009). A compactness theorem for the Yamabe problem. Journal of Differential Geometry, 81(1),
Extreme value theorem (3,886 words) [view diff] no match in snippet view article find links to article
these definitions, continuous functions can be shown to preserve compactness: Theorem. If V ,   W {\displaystyle V,\ W} are topological spaces, f : V →
Finite intersection property (2,664 words) [view diff] no match in snippet view article find links to article
intersection property is useful in formulating an alternative definition of compactness: Theorem — A space is compact if and only if every family of closed subsets
Utilitarian cake-cutting (2,256 words) [view diff] exact match in snippet view article find links to article
divisions still exist. This is a corollary of the Dubins–Spanier compactness theorem and it can also be proved using the Radon–Nikodym set. However, no
Ricci flow (7,771 words) [view diff] exact match in snippet view article find links to article
theorem". The noncollapsing theorem allows application of Hamilton's compactness theorem (Hamilton 1995) to construct "singularity models", which are Ricci
Weller's theorem (3,428 words) [view diff] exact match in snippet view article find links to article
{\displaystyle w_{i}} is a positive weight. A corollary of the Dubins–Spanier compactness theorem is that, for every weight-vector w {\displaystyle w} , WUM allocations
Glossary of set theory (8,858 words) [view diff] exact match in snippet view article find links to article
inaccessible) such that the infinitary language Lκ,κ satisfies the weak compactness theorem 3.  A weakly Mahlo cardinal is a cardinal κ that is weakly inaccessible
Differential forms on a Riemann surface (11,055 words) [view diff] exact match in snippet view article find links to article
consequence of the Sobolev embedding theorem. Inclusion maps (Rellich's compactness theorem). If k > j, the space Hk(T2) is a subspace of Hj(T2) and the inclusion