Finite group actions on acyclic -complexes
Finite topological spaces.
We show that the study of topological T0-spaces with a finite number of points agrees essentially with the study of polyhedra, by means of the geometric realization of finite spaces. In this paper all topological spaces are assumed to be T0.
Fixed point free equivariant homotopy classes
Fixed point index for open sets in euclidean spaces
Fixed point index theory for a class of nonacyclic multivalued maps [Book]
Fixed point indices and manifolds with collars.
Fixed point indices of equivariant maps and Möbius inversions.
Fixed point indices of iterated maps.
Fixed point sets of maps homotopic to a given map.
Fixed point theorems for compact and nonexpansive mappings on starshaped domains (Preliminary communication)
Fixed point theorems for non-compact approximative ANR's
Fixed point theorems for pseudo-contractive mappings and a counterexample for compact maps
Fixed point theorems of Rothe-type for Frum-Ketkov- and 1-set-contractions
Fixed point theory and the K-theoretic trace
The relationship between fixed point theory and K-theory is explained, both classical Nielsen theory (versus ) and 1-parameter fixed point theory (versus ). In particular, various zeta functions associated with suspension flows are shown to come in a natural way as “traces” of “torsions” of Whitehead and Reidemeister type.
Fixed point theory for homogeneous spaces, II
Let G be a compact connected Lie group, K a closed subgroup and M = G/K the homogeneous space of right cosets. Suppose that M is orientable. We show that for any selfmap f: M → M, L(f) = 0 ⇒ N(f) = 0 and L(f) ≠ 0 ⇒ N(f) = R(f) where L(f), N(f), and R(f) denote the Lefschetz, Nielsen, and Reidemeister numbers of f, respectively. In particular, this implies that the Lefschetz number is a complete invariant, i.e., L(f) = 0 iff f is deformable to be fixed point free. This was previously known under...
Fixed points and braids.
Fixed Points and Braids. II.
Fixed points and locally connected cyclic continua in
Fixed points, equilibria and maximal elements in linear topological spaces
Fixed points, exceptional orbits, and homology of affine -surfaces