The basic fixed-point index of f/p was constructed in , and called there the homotopy Lefschetz
index, as an element
and consequently, for [phi]: X [??] Y, we define the generalized Lefschetz
number [LAMBDA]([phi]) of [phi] by letting
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.
, Stability of Nonlinear Control Systems, Academic Press, New York, NY, USA, 1965.
Stanley, Weyl groups, the hard Lefschetz
theorem, and the Sperner property, SIAM J.
, Stability by Liapunov's Direct Method, Academic Press, New York, NY, USA, 1961.
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
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