Alexander duality

См. также в других словарях:

• Alexander duality — In mathematics, Alexander duality refers to a duality theory presaged by a result of 1915 by J. W. Alexander, and subsequently further developed, particularly by P. S. Alexandrov and Lev Pontryagin. It applies to the homology theory properties of …   Wikipedia

• Duality (mathematics) — In mathematics, a duality, generally speaking, translates concepts, theorems or mathematical structures into other concepts, theorems or structures, in a one to one fashion, often (but not always) by means of an involution operation: if the dual… …   Wikipedia

• Alexander Beilinson — Alexander A. Beilinson is the David and Mary Winton Green University Professor at the University of Chicago and works on mathematics. His research has spanned representation theory, algebraic geometry and mathematical physics. WorkIn 1981… …   Wikipedia

• Alexander polynomial — In mathematics, the Alexander polynomial is a knot invariant which assigns a polynomial with integer coefficients to each knot type. James Waddell Alexander II discovered this, the first knot polynomial, in 1923. In 1969, John Conway showed a… …   Wikipedia

• Alexander Grothendieck — User:Geometry guy/InfoboxAlexander Grothendieck (born March 28, 1928 in Berlin, Germany) is considered to be one of the greatest mathematicians of the 20th century. He made major contributions to: algebraic topology, algebraic geometry, number… …   Wikipedia

• Alexander Polyakov — Infobox Scientist name = Alexander M. Polyakov birth date = birth date|1945|09|27 birth place = USSR nationality = death date = death place = field = Theoretical High Energy Physics work institution = Princeton University Landau Institute for… …   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

• Spanier-Whitehead duality — In mathematics, Spanier Whitehead duality is a duality theory in homotopy theory, based on a geometrical idea that a topological space X may be considered as dual to its complement in the n sphere, where n is large enough. Its origins lie in the… …   Wikipedia

• James Waddell Alexander II — Pour les articles homonymes, voir Alexander. James Waddell Alexander II est un mathématicien et topologue américain de l entre deux guerres, né le 19 septembre 1888 et mort le 23 septembre 1971. Il fait partie de l influente école de Princeton en …   Wikipédia en Français

• James Waddell Alexander II — Infobox Scientist name = PAGENAME birth date = September 19, 1888 birth place = death date = September 23, 1971 death place = residence = citizenship = nationality = ethnicity = field = topology work institutions = alma mater = doctoral advisor …   Wikipedia

• Tannaka–Krein duality — In mathematics, Tannaka–Krein duality theory concerns the interaction of a compact topological group and its category of linear representations. Its natural extension to the non Abelian case is the Grothendieck duality theory. It extends an… …   Wikipedia