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.
Nielsen's theorem for model asherical manifolds.
Non-singular set-valued compact fields in locally convex spaces
On a class of multi-valued vector fields in Banach spaces
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 nonlocal metric regularity of nonlinear operators
On a stability theorem for the fixed-point property
On cat(X).
On cohomological dimension of a space and its Stone-Čech compactification
On construction of signature of quadratic forms on infinite-dimensional abstract spaces.
On dimensionally restricted maps
Let f: X → Y be a closed n-dimensional surjective map of metrizable spaces. It is shown that if Y is a C-space, then: (1) the set of all maps g: X → ⁿ with dim(f △ g) = 0 is uniformly dense in C(X,ⁿ); (2) for every 0 ≤ k ≤ n-1 there exists an -subset of X such that and the restriction is (n-k-1)-dimensional. These are extensions of theorems by Pasynkov and Toruńczyk, respectively, obtained for finite-dimensional spaces. A generalization of a result due to Dranishnikov and Uspenskij about...
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 Fibrations and nilpotency - some remarks upon two articles by I. M. James.
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.