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Longer titles found: Barwise compactness theorem (view), Gromov's compactness theorem (geometry) (view), Mahler's compactness theorem (view), Mumford's compactness theorem (view), Gromov's compactness theorem (topology) (view), Gromov's compactness theorem (view)

searching for compactness theorem 22 found (108 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 (894 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

Luigi Ambrosio (588 words) [view diff] exact match in snippet view article find links to article

Nemmers Prize in Mathematics. Ambrosio, Luigi (16 February 2015). "A compactness theorem for a new class of functions of bounded variation". Bollettino dell'unione

Plateau's problem (938 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

Grigori Perelman (6,324 words) [view diff] exact match in snippet view article find links to article

is that volume control is one of the preconditions of Hamilton's compactness theorem. As a consequence, Hamilton's compactness and the corresponding existence

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

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

Marcel Riesz (1,310 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

Ennio De Giorgi (2,119 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

Fernando Codá Marques (1,758 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 (3,926 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 (2,658 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

Richard S. Hamilton (3,515 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

Utilitarian cake-cutting (2,232 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

Poincaré conjecture (5,324 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

Ricci flow (8,364 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 (11,628 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 (11,073 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

Word equation (4,051 words) [view diff] exact match in snippet view article find links to article

any of the other E ′ ∈ S {\displaystyle E'\in S} . An interesting compactness theorem, usually bearing the name of Andrzej Ehrenfeucht, states that an