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Topic: Kirszbraun theorem


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In the News (Sun 21 Apr 19)

  
  Awesome Library - Mathematics
"A theorem is a statement which can be proven true within some logical framework.
Proving theorems is a central activity of mathematics." Provides 212 theorems.
Provides some of the more important math theorems, including Riemann hypothesis, Continuum hypothesis, P=NP, Pythagorean theorem, Central limit theorem, Fundamental theorem of calculus, Fundamental theorem of algebra, Fundamental theorem of arithmetic, Fundamental theorem of projective geometry, Classification theorems of surfaces, and Gauss-Bonnet theorem.
www.awesomelibrary.org /Classroom/Mathematics/College_Math/College_Math.html   (371 words)

  
  Untitled Document
Remarks on fixed point theorems of Downing and Kirk for set-valued mapping in metric and Banach spaces, Bull.
Cyclic coincidence theorems for acyclic multifunctions on convex spaces, J. Korean Math.
Minimax theorems and the Nash equilibria on generalized convex spaces, Josai Math.
www.math.snu.ac.kr /~shpark/html/pyear.htm   (3173 words)

  
 Kirszbraun theorem - Wikipedia, the free encyclopedia
In mathematics, specifically real analysis and functional analysis, the Kirszbraun theorem states that if U is a subset of some Hilbert space H
, and it was in this form that Kirszbraun originally formulated and proved the theorem.
It is for instance possible to construct counterexamples where the domain is a subset of R
en.wikipedia.org /wiki/Kirszbraun_theorem   (167 words)

  
 UNT Department of Mathematics: Graduate Seminar
It is actually one of the first theorems encountered in the broader theory of paradoxical decompositions.
Georganopoulos has sown that a continuous function f: X \rightarrow B, where X is a compact metric space and B a convex subset of a real normed space Y, is a uniform limit of Lipschitz maps from X to B. This result is obtained using a Lipschitz partition of unity.
Abstract: Tietze's theorem concerning extensions of a continuous map is a central theorem in mathematical analysis.
www.math.unt.edu /seminars/grad.shtml   (3438 words)

  
 Publications listing for Branko Grünbaum
A generalization of theorems of Kirszbraun and Minty.
Some semicontinuity theorems for convex polytopes and cell complexes.
The theorems of Euler and Eberhard for tilings of the plane.
www.math.washington.edu /~grunbaum/Publications.html   (983 words)

  
 ALMGREN'S BIG REGULARITY PAPER
Fred Almgren exploited the excess method for proving regularity theorems in the calculus of variations.
For example, this work shows how first variation estimates from squash and squeeze deformations yield a monotonicity theorem for the normalized frequency of oscillation of a Q-valued function that minimizes a generalized Dirichlet integral.
The principal features of the book include an extension theorem analogous to Kirszbraun's theorem and theorems on the approximation in mass of nearly flat mass-minimizing rectifiable currents by graphs and images of Lipschitz Q-valued functions.
www.worldscibooks.com /mathematics/4253.html   (431 words)

  
 Maximal Quasiflats in Metric Spaces (ResearchIndex)   (Site not responding. Last check: 2007-10-25)
Abstract: In a symmetric space of noncompact type and rank k, the normal projection onto a maximal at F (isometric to R k) strictly contracts the volume of all k-dimensional submanifolds lying at a positive distance from F.
This fact was exploited in the proof of Mostow's rigidity theorem.
1 Schroeder: Kirszbraun's theorem and metric spaces of bounded..
citeseer.ist.psu.edu /lang98maximal.html   (297 words)

  
 Kirszbraun theorem   (Site not responding. Last check: 2007-10-25)
In mathematics the Kirszbraun theorem in mathematical analysis states that if U is a subset of Euclidean space E
In solving the 350-year-old problem of Fermat's "last theorem", Andrew Wiles faced the challenge of weaving together disparate fields of mathematics and inventing a few new ones - his success is documented here.
Dunham investigates and explains, in easy-to-understand language and simple algebra, some of the most famous theorems of mathematics.
www.freeglossary.com /Kirszbraun_theorem   (417 words)

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