germ of manifold

germ of manifold
росток многообразия

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  • Map germ — Here we define the mathematical concept of a map germ. Given the set of all maps from one manifold to another we can collect maps together under an equivalence relation. These equivalence classes are called map germs.Consider two manifolds M and… …   Wikipedia

  • Sheaf (mathematics) — This article is about sheaves on topological spaces. For sheaves on a site see Grothendieck topology and Topos. In mathematics, a sheaf is a tool for systematically tracking locally defined data attached to the open sets of a topological space.… …   Wikipedia

  • Life — • The enigma of life is still one of the two or three most difficult problems that face both scientist and philosopher Catholic Encyclopedia. Kevin Knight. 2006. Life     Life      …   Catholic encyclopedia

  • Stalk (sheaf) — The stalk of a sheaf is a mathematical construction capturing the behaviour of a sheaf around a given point.Motivation and definitionSheaves are defined on open sets, but the underlying topological space X consists of points. It is reasonable to… …   Wikipedia

  • Christianity — /kris chee an i tee/, n., pl. Christianities. 1. the Christian religion, including the Catholic, Protestant, and Eastern Orthodox churches. 2. Christian beliefs or practices; Christian quality or character: Christianity mixed with pagan elements; …   Universalium

  • Evolution —     Evolution (History and Scientific Foundation)     † Catholic Encyclopedia ► Evolution (History and Scientific Foundation)     The world of organisms comprises a great system of individual forms generally classified according to structural… …   Catholic encyclopedia

  • List of mathematics articles (M) — NOTOC M M estimator M group M matrix M separation M set M. C. Escher s legacy M. Riesz extension theorem M/M/1 model Maass wave form Mac Lane s planarity criterion Macaulay brackets Macbeath surface MacCormack method Macdonald polynomial Machin… …   Wikipedia

  • Luther, Martin — • Leader of the great religious revolt of the sixteenth century in Germany; born at Eisleben, 10 November, 1483; died at Eisleben, 18 February, 1546 Catholic Encyclopedia. Kevin Knight. 2006. Luther, Martin      …   Catholic encyclopedia

  • Luther —     Martin Luther     † Catholic Encyclopedia ► Martin Luther     Leader of the great religious revolt of the sixteenth century in Germany; born at Eisleben, 10 November, 1483; died at Eisleben, 18 February, 1546.     His father, Hans, was a… …   Catholic encyclopedia

  • Martin Luther —     Martin Luther     † Catholic Encyclopedia ► Martin Luther     Leader of the great religious revolt of the sixteenth century in Germany; born at Eisleben, 10 November, 1483; died at Eisleben, 18 February, 1546.     His father, Hans, was a… …   Catholic encyclopedia

  • Inquisition — • By this term is usually meant a special ecclesiastical institutional for combating or suppressing heresy Catholic Encyclopedia. Kevin Knight. 2006. Inquisition     Inquisition      …   Catholic encyclopedia


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