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.
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
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
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 ).
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.