Solomon Lefschetz

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Lefschetz, Solomon


Born Sept. 3, 1884, in Moscow. American mathematician.

Lefschetz was appointed a professor at Princeton University in 1924. He is the author of studies on algebraic geometry (theory of multidimensional algebraic manifolds involving substantial application of topological methods). In topology, Lefschetz, together with H. Hopf, created the general theory of the intersection of cycles in manifolds and is the originator of the algebraic theory of continuous mappings.


In Russian translation:
Algebraicheskaia topologiia. Moscow, 1949.
Geometricheskaia teoriia differentsial’nykh uravnenii. Moscow, 1961.
References in periodicals archive ?
He covers dynamics, dimensional groups, the complexes of an s/u-bijective factor map, the double complexes of an s/u-bijective pair, a Lefschetz formula, examples, and questions.
The Lefschetz fixed point theorem counts fixed points of a continuous mapping from a compact topological space X to itself via traces of the induced mappings on the homology groups of X.
Stanley, Weyl groups, the hard Lefschetz theorem, and the Sperner property, SIAM J.
Abstract: The aim of this paper is to prove the Lefschetz fixed point theorem for random multivalued compact absorbing contractions on absolute neighbourhood multiretracts.
Deitmar, Generalised Selberg zeta functions and a conjectural Lefschetz formula, in Multiple Dirichlet series, automorphic forms, and analytic number theory, 177 190, Proc.
The invariants of dynamical systems are described in terms of the traces of powers of integer matrices, for example in studying the Lefschetz numbers [18].
Clustering of critical points in Lefschetz fibrations and the symplectic Szpiro inequality (electronic).
Also appropriate for physicists, the advanced mathematics textbook describes the Standard Model of elementary particles, a spectral realization of the zeros of the Riemann zeta function, quantum statistical mechanical systems, and a cohomological Lefschetz trace formula.
He went on to graduate work in mathematics at Princeton University, where the department chair Solomon Lefschetz gave him great freedom to develop his interdisciplinary ideas on learning and intelligence.
The Poincare method is related to exact solution methods, because a solution produced with the method is a power series expanded by a small parameter (see Lefschetz, Chapter XII, [section]2 of [21]).
El Departamento de Matematicas de la Universidad de Princeton era dirigido por el ruso-estadunidense Solomon Lefschetz, que habia creado un sistema curioso: permitia que los estudiantes no asistieran a ninguna clase si se dedicaban a estudiar directamente en los libros, al mismo tiempo que alentaba la competitividad informal entre ellos.
First, though not a coauthor, there was Solomon Lefschetz, then the grand old man of differential equation theory, who spurred me on to write a piece on nonlinear difference equations.