Lefschetz duality

См. также в других словарях:

• Lefschetz duality — In mathematics, Lefschetz duality is a version of Poincaré duality in geometric topology, applying to a manifold with boundary. Such a formulation was introduced by Solomon Lefschetz in the 1920s, at the same time introducing relative homology,… …   Wikipedia

• Lefschetz hyperplane theorem — In mathematics, the Lefschetz hyperplane theorem states that a hyperplane section W of a non singular complex algebraic variety V , in complex projective space, inherits most of its algebraic topology from V . This allows certain geometrical… …   Wikipedia

• Lefschetz manifold — In mathematics, a Lefschetz manifold is a particular kind of symplectic manifold.DefinitionsLet M be a (2n) dimensional smooth manifold. Each element: [omega] in H {DR}^2 (M) of the second de Rham cohomology space of M induces a map :L { [omega]… …   Wikipedia

• Lefschetz fixed-point theorem — In mathematics, the Lefschetz fixed point theorem is a formula that counts the number of fixed points of a continuous mapping from a compact topological space X to itself by means of traces of the induced mappings on the homology groups of X . It …   Wikipedia

• Solomon Lefschetz — Infobox Scientist box width = name =Solomon Lefschetz image size = caption = birth date = September 3, 1884 birth place = Moscow, Russia death date = October 5, 1972 death place = residence = USA citizenship = nationality = Russian ethnicity =… …   Wikipedia

• Poincaré duality — In mathematics, the Poincaré duality theorem, named after Henri Poincaré, is a basic result on the structure of the homology and cohomology groups of manifolds. It states that if M is an n dimensional compact oriented manifold, then the k th… …   Wikipedia

• List of mathematics articles (L) — NOTOC L L (complexity) L BFGS L² cohomology L function L game L notation L system L theory L Analyse des Infiniment Petits pour l Intelligence des Lignes Courbes L Hôpital s rule L(R) La Géométrie Labeled graph Labelled enumeration theorem Lack… …   Wikipedia

• Shaun Wylie — (* 17. Januar 1913 in Oxford; † 2. Oktober 2009) war ein britischer Mathematiker (Topologie) und Kryptologe. Inhaltsverzeichnis 1 Leben und Wirken 2 Schriften 3 Weblinks …   Deutsch Wikipedia

• mathematics — /math euh mat iks/, n. 1. (used with a sing. v.) the systematic treatment of magnitude, relationships between figures and forms, and relations between quantities expressed symbolically. 2. (used with a sing. or pl. v.) mathematical procedures,… …   Universalium

• Étale cohomology — In mathematics, the étale cohomology groups of an algebraic variety or scheme are algebraic analogues of the usual cohomology groups with finite coefficients of a topological space, introduced by Grothendieck in order to prove the Weil… …   Wikipedia

• Weil cohomology theory — In algebraic geometry, a subfield of mathematics, a Weil cohomology or Weil cohomology theory is a cohomology satisfying certain axioms concerning the interplay of algebraic cycles and cohomology groups. The name is in honour of André Weil. Weil… …   Wikipedia