- Lefschetz number
- Математика: число Лефшеца
Универсальный англо-русский словарь. Академик.ру. 2011.
Lefschetz number
Смотреть что такое "Lefschetz number" в других словарях:
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
Lefschetz zeta function — In mathematics, the Lefschetz zeta function is a tool used in topological periodic and fixed point theory, and dynamical systems. Given a mapping f , the zeta function is defined as the formal series:zeta f(z) = exp left( sum {n=0}^infty L(f^n)… … Wikipedia
LEFSCHETZ, SOLOMON — (1884–1972), U.S. mathematician. Born in Moscow, Lefschetz received his doctorate in 1911 at Clarke University. During the years 1907 to 1910 he was employed by the Westinghouse Electric Manufacturing Company at Pittsburgh. He began his academic… … Encyclopedia of Judaism
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
List of people by Erdős number — Paul Erdős was one of the most prolific writers of mathematical papers. He collaborated a great deal, having 511 joint authors, a number of whom also have many collaborators. The Erdős number measures the collaborative distance between an author… … Wikipedia
Intersection number — In mathematics, the concept of intersection number arose in algebraic geometry, where two curves intersecting at a point may be considered to meet twice if they are tangent there. In the sense that multiple intersections are limiting cases of n… … Wikipedia
Michael Atiyah — Sir Michael Atiyah Born 22 April 1929 (1929 04 22) (age 82) … Wikipedia
Atiyah–Bott fixed-point theorem — In mathematics, the Atiyah–Bott fixed point theorem, proven by Michael Atiyah and Raoul Bott in the 1960s, is a general form of the Lefschetz fixed point theorem for smooth manifolds M , which uses an elliptic complex on M . This is a system of… … Wikipedia
Atiyah–Singer index theorem — In the mathematics of manifolds and differential operators, the Atiyah–Singer index theorem states that for an elliptic differential operator on a compact manifold, the analytical index (closely related to the dimension of the space of solutions) … Wikipedia
Hairy ball theorem — The hairy ball theorem of algebraic topology states that there is no nonvanishing continuous tangent vector field on the sphere. If f is a continuous function that assigns a vector in R3 to every point p on a sphere such that f ( p ) is always… … Wikipedia
Möbius transformation — Not to be confused with Möbius transform or Möbius function. In geometry, a Möbius transformation of the plane is a rational function of the form of one complex variable z; here the coefficients a, b, c, d are complex numbers satisfying ad − … Wikipedia
