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developable space

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  • Developable — In mathematics, the term developable may refer to: A developable space in general topology. A developable surface in geometry. This disambiguation page lists articles associated with the same title. If an internal link …   Wikipedia

  • Developable surface — In mathematics, a developable surface is a surface with zero Gaussian curvature. That is, it is a surface that can be flattened onto a plane without distortion (i.e. stretching or compressing ). Conversely, it is a surface which can be made by… …   Wikipedia

  • Moore space (topology) — In mathematics, more specifically point set topology, a Moore space is a developable regular Hausdorff space. Equivalently, a topological space X is a Moore space if the following conditions hold: Any two distinct points can be separated by… …   Wikipedia

  • Tangential developable — In the mathematical study of the differential geometry of surfaces, a tangential developable is a particular kind of developable surface obtained from a curve in Euclidean space as the surface swept out by the tangent lines to the curve. Such a… …   Wikipedia

  • Tangent developable — The tangent developable of a space curve gamma(t) is a ruled surface of the form gamma(t)+s gamma^prime(t). Intuitively it is the union of the tangent lines to the curve. A result of Euler states that most developable surfaces can be obtained as… …   Wikipedia

  • Moore space — In mathematics, Moore space may refer to: Moore space (algebraic topology) Moore space (topology), a regular, developable topological space. This disambiguation page lists mathematics articles associated with the same title. If an …   Wikipedia

  • Development (topology) — In the mathematical field of topology, a development is a countable collection of open covers of a topological space that satisfies certain separation axioms. Let X be a topological space. A development for X is a countable collection of open… …   Wikipedia

  • Orbifold — This terminology should not be blamed on me. It was obtained by a democratic process in my course of 1976 77. An orbifold is something with many folds; unfortunately, the word “manifold” already has a different definition. I tried “foldamani”,… …   Wikipedia

  • Ruled surface — A hyperboloid of one sheet is a doubly ruled surface: it can be generated by either of two families of straight lines. In geometry, a surface S is ruled if through every point of S there is a straight line that lies on S. The most familiar… …   Wikipedia

  • 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

  • photography, technology of — Introduction       equipment, techniques, and processes used in the production of photographs.  The most widely used photographic process is the black and white negative–positive system (Figure 1 >). In the camera the lens projects an image of… …   Universalium

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