On the fixed point index and the Nielsen fixed point theorem of symmetric product mappings
On the generalization of the Nielsen number
On the Index of Approximating Sets of Periodic Points.
On the Lefschetz fixed point theorem
On the Lefschetz fixed point theorem for multivalued weighted mappings
On the Nielsen fixed point theory for multivalued mappings
We present J. Jezierski's approach to the Nielsen fixed point theory for a broad class of multivalued mappings [Je1]. We also describe some generalizations and different techniques existing in the literature.
On the number of coincidences of morphisms between closed Riemann surfaces.
We give a bound for the number of coincidence of two morphisms between given compact Riemann surfaces (complete complex algebraic curves). Our results generalize well known facts about the number of fixed points of an automorphism.
On the number of fixed points for a continuous map of a finite connected graph.
On the Schauder fixed point theorem
The paper contains a survey of various results concerning the Schauder Fixed Point Theorem for metric spaces both in single-valued and multi-valued cases. A number of open problems is formulated.
On the sharpness of the ... 2 and ... 1 Nielsen numbers.
On the structure of the set of solutions of a functional equation with applications to boundary value problems
On the uniqueness of the fixed point index on differentiable manifolds.
On the Uniqueness of the Topological Degree for k-Set-Contractions.
Once More on the Lefschetz Fixed Point Theorem
An abstract version of the Lefschetz fixed point theorem is presented. Then several generalizations of the classical Lefschetz fixed point theorem are obtained.
One codimensional Wecken type theorems.
One-parameter Fixed Point Theory.
Optimal bounds for the colored Tverberg problem
We prove a “Tverberg type” multiple intersection theorem. It strengthens the prime case of the original Tverberg theorem from 1966, as well as the topological Tverberg theorem of Bárány et al. (1980), by adding color constraints. It also provides an improved bound for the (topological) colored Tverberg problem of Bárány & Larman (1992) that is tight in the prime case and asymptotically optimal in the general case. The proof is based on relative equivariant obstruction theory.
Parametrized Borsuk-Ulam problem for projective space bundles
Let π: E → B be a fiber bundle with fiber having the mod 2 cohomology algebra of a real or a complex projective space and let π’: E’ → B be a vector bundle such that ℤ₂ acts fiber preserving and freely on E and E’-0, where 0 stands for the zero section of the bundle π’: E’ → B. For a fiber preserving ℤ₂-equivariant map f: E → E’, we estimate the cohomological dimension of the zero set . As an application, we also estimate the cohomological dimension of the ℤ₂-coincidence set of a fiber preserving...
Parametrized Borsuk-Ulam theorems.
Periodic orbits indices