Uniformization

Uniformization

Uniformization may refer to:
* Uniformization (set theory), a mathematical concept in set theory
* Uniformization theorem, a mathematical concept in Riemannian geometry


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  • Uniformization (set theory) — In set theory, the axiom of uniformization, a weak form of the axiom of choice, states that if R is a subset of X imes Y, where X and Y are Polish spaces,then there is a subset f of R that is a partial function from X to Y, and whose domain (in… …   Wikipedia

  • Uniformization theorem — In mathematics, the uniformization theorem for surfaces says that any surface admits a Riemannian metric of constant Gaussian curvature. In fact, one can find a metric with constant Gaussian curvature in any given conformal class.In other words… …   Wikipedia

  • uniformization — noun The act of uniformizing …   Wiktionary

  • uniformize — uniformization, n. /yooh neuh fawr muyz /, v.t., uniformized, uniformizing. to bring into uniformity. Also, esp. Brit., uniformise. [1865 70; < F uniformiser. See UNIFORM, IZE] * * * …   Universalium

  • Differential geometry of surfaces — Carl Friedrich Gauss in 1828 In mathematics, the differential geometry of surfaces deals with smooth surfaces with various additional structures, most often, a Riemannian metric. Surfaces have been extensively studied from various perspectives:… …   Wikipedia

  • Ricci flow — In differential geometry, the Ricci flow is an intrinsic geometric flow a process which deforms the metric of a Riemannian manifold in this case in a manner formally analogous to the diffusion of heat, thereby smoothing out irregularities in the… …   Wikipedia

  • Riemann surface — For the Riemann surface of a subring of a field, see Zariski–Riemann space. Riemann surface for the function ƒ(z) = √z. The two horizontal axes represent the real and imaginary parts of z, while the vertical axis represents the real… …   Wikipedia

  • Théorème d'uniformisation — En mathématiques, et plus précisément en géométrie, le théorème d uniformisation de Poincaré affirme que toute surface admet une métrique riemannienne de courbure constante. On peut en voir comme un cas particulier le théorème d uniformisation de …   Wikipédia en Français

  • Shing-Tung Yau — at Harvard Law School dining hall Born …   Wikipedia

  • List of mathematics articles (U) — NOTOC U U duality U quadratic distribution U statistic UCT Mathematics Competition Ugly duckling theorem Ulam numbers Ulam spiral Ultraconnected space Ultrafilter Ultrafinitism Ultrahyperbolic wave equation Ultralimit Ultrametric space… …   Wikipedia

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