An estimate of the Nielsen number and an example concerning the Lefschetz fixed point theorem [PDF]
, 1976 Dan McCord
openalex +2 more sources
Generalized Lefschetz fixed point theorems in extension type spaces
Journal of Nonlinear Sciences and Applications, 2015 Donal O’Regan
openalex +3 more sources
An application of the Lefschetz fixed-point theorem to non-convex differential inclusions on manifolds [PDF]
, 1998 Stanisław Domachowski, Tadeusz Pruszko
openalex +2 more sources
The Atiyah-Singer theorems: A probabilistic approach. II. The Lefschetz fixed point formulas
Journal of Functional Analysis, 1984 In the first part of the article [ibid. 57, 56-99 (1984; Zbl 0538.58033)] the author gave a probabilistic proof of the Atiyah-Singer index theorem for classical elliptic complex and in this second part the Atiyah-Bott- Lefschetz fixed point formulas for elliptic spin-complexes are proved by using some probabilistic methods.
Jean‐Michel Bismut
openalex +2 more sources
Recent advances in the Lefschetz fixed point theory for multivalued mappings
Results in Nonlinear Analysis, 2021 In 1923 S. Lefschetz proved the famous fixed point theorem known as the Lefschetz fixed point theorem (comp. [5], [9], [20], [21]. The multivalued case was considered for the first time in 1946 by S. Eilenberg and D. Montgomery ([10]).
Lech Górniewicz
doaj +1 more source
A reduction of the Nielsen fixed point theorem for symmetric product maps to the Lefschetz theorem [PDF]
Fundamenta Mathematicae, 1990 Dariusz Miklaszewski
openalex +2 more sources
Periodic solutions of dissipative systems revisited
Fixed Point Theory and Applications, 2006 We reprove in an extremely simple way the classical theorem that time periodic dissipative systems imply the existence of harmonic periodic solutions, in the case of uniqueness.
Lech Górniewicz, Jan Andres
doaj +4 more sources
A Brouwer fixed point theorem for graph endomorphisms [PDF]
, 2012 We prove a Lefschetz formula for general simple graphs which equates the Lefschetz number L(T) of an endomorphism T with the sum of the degrees i(x) of simplices in G which are fixed by T.
Knill, Oliver
core +3 more sources
A Bordism Viewpoint of Fiberwise Intersections
International Journal of Mathematics and Mathematical Sciences, 2013 We use the geometric data to define a bordism invariant for the fiberwise intersection theory. Under some certain conditions, this invariant is an obstruction for the theory. Moreover, we prove the converse of fiberwise Lefschetz fixed point theorem.
Gun Sunyeekhan
doaj +1 more source
On equivariant deformation of maps [PDF]
, 1988 We work in the smooth category: manifolds and maps are meant to be smooth. Let G be a finite group acting on a connected closed manifold X and f an equivariant self-map on X with flA fixpointfree, where A is a closed invariant submanifold of X with codim
Vidal, Antonio
core +2 more sources