Nielsen number is a knot invariant
We show that the Nielsen number is a knot invariant via representation variety.
Nielsen number of a covering map.
Nielsen theory of transversal fixed point sets (with an appendix: and C0 fixed point sets are the same, by R. E. Greene)
Examples exist of smooth maps on the boundary of a smooth manifold M which allow continuous extensions over M without fixed points but no such smooth extensions. Such maps are studied here in more detail. They have a minimal fixed point set when all transversally fixed maps in their homotopy class are considered. Therefore we introduce a Nielsen fixed point theory for transversally fixed maps on smooth manifolds without or with boundary, and use it to calculate the minimum number of fixed points...
Nielsen type numbers of self-maps on the real projective plane.
Nielsen zeta function, 3-manifolds, and asymptotic expansions in Nielsen theory.
On a class of spaces for which the fixed-point property is characterized by homology groups
On a coincidence of mappings of compact spaces in topological groups
On a local degree for a class of multi-valued vector fields in infinite dimensional Banach spaces.
On a stability theorem for the fixed-point property
On equivariant deformations of maps.
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 f|A fixpointfree, where A is a closed invariant submanifold of X with codim A ≥ 3. The purpose of this paper is to give a proof using obstruction theory of the following fact: If X is simply connected and the action of G on X - A is free, then f is equivariantly deformable rel. A to fixed point free map if and only if the...
On finite groups acting on acyclic complexes of dimension two.
We conjecture that every finite group G acting on a contractible CW-complex X of dimension 2 has at least one fixed point. We prove this in the case where G is solvable, and under this additional hypothesis, the result holds for X acyclic.
On Fixed Points of Symplectic Maps.
On generalizing the Nielsen coincidence theory to non-oriented manifolds
We give an outline of the Nielsen coincidence theory emphasizing differences between the oriented and non-oriented cases.
On metrics of characteristic zero
We introduce and study the concept of characteristic for metrics. It turns out that metrizable spaces endowed with an L*-operator which admit a metric of characteristic zero play an important role in the theory of fixed points. We prove the existence of such spaces among infinite-dimensional linear topological spaces.
On Nash theorem
On Shapley KKMS theorem
On the computation of the Nielsen numbers and the converse of the Lefschetz coincidence theorem
Let be maps where and are connected triangulable oriented n-manifolds so that the set of coincidences is compact in . We define a Nielsen equivalence relation on and assign the coincidence index to each Nielsen coincidence class. In this note, we show that, for n ≥ 3, if where is a connected simply connected topological group and K is a discrete subgroup then all the Nielsen coincidence classes of f and g have the same coincidence index. In particular, when and are compact, f...
On the equivariant homotopy of spheres [Book]
On the fiber-preserving maps
On the fixed point formula for Atiyah and Bott