Fix-finite and fixed point free approximations of symmetric product maps
Fix-finite approximation of n-valued multifunctions
Free actions on products of spheres: The rational case.
General position properties in fiberwise geometric topology [Book]
Generalized Antipodes and the Borsuk Antipode Theorem
Generalized Lefschetz numbers of pushout maps defined on non-connected spaces
Let A, and be topological spaces and let , be continuous maps. For all self-maps , and such that and there exists a pushout map f defined on the pushout space . In [F] we proved a formula relating the generalized Lefschetz numbers of f, , and . We had to assume all the spaces involved were connected because in the original definition of the generalized Lefschetz number given by Husseini in [H] the space was assumed to be connected. So, to extend the result of [F] to the not...
Generalizing the Fixed Point Index.
Geometric and homotopy theoretic methods in Nielsen coincidence theory.
Higher-order Nielsen numbers.
Holonomy groups of flat manifolds with the property
Let M be a flat manifold. We say that M has the property if the Reidemeister number R(f) is infinite for every homeomorphism f: M → M. We investigate relations between the holonomy representation ρ of M and the property. When the holonomy group of M is solvable we show that if ρ has a unique ℝ-irreducible subrepresentation of odd degree then M has the property. This result is related to Conjecture 4.8 in [K. Dekimpe et al., Topol. Methods Nonlinear Anal. 34 (2009)].
Homological Identities for Closed Orbits.
Homological methods in fixed-point theory of multi-valued maps [Book]
Homologie des groupes et généralisations du théorème de Borsuk-Ulam
We show that many generalisations of Borsuk-Ulam's theorem follow from an elementary result of homological algebra.
Homotopical dynamics.
KKM maps and variational inequalities
La théorie des points fixes des applications à itérée condensante
La théorie des rétracts approximatifs et le théorème des points fixes de Lefschetz [Book]
Le théorème de Lefschetz pour les ANR approximatifs
Lefschetz coincidence formula on non-orientable manifolds
We generalize the Lefschetz coincidence theorem to non-oriented manifolds. We use (co-) homology groups with local coefficients. This generalization requires the assumption that one of the considered maps is orientation true.
Lefschetz coincidence numbers of solvmanifolds with Mostow conditions
For any two continuous maps , between two solvmanifolds of the same dimension satisfying the Mostow condition, we give a technique of computation of the Lefschetz coincidence number of , . This result is an extension of the result of Ha, Lee and Penninckx for completely solvable case.