Fixed points, exceptional orbits, and homology of affine -surfaces
Fixed points for pairs of mappings in d-complete topological spaces.
Fixed points for positive permutation braids
Making use of the Nielsen fixed point theory, we study a conjugacy invariant of braids, which we call the level index function. We present a simple algorithm for computing it for positive permutation cyclic braids.
Fixed Points In Antimorphisms
Fixed points, index, and degree for some set valued functions
Fixed points, intersection theorems, variational inequalities, and equilibrium theorems.
Fixed points of antitone mappings in conditionally complete partially ordered sets.
Fixed points of certain symmetric product mappings of a metric manifold
Fixed points of maps of a nonaspherical wedge.
Fixed Points of Maps of Sets of Polyhedra into the Disc
We prove that Platonic and some Archimedean polyhedra have the fixed point property in a non-classical sense.
Fixed Points of n-Valued Multimaps of the Circle
A multifunction ϕ: X ⊸ Y is n-valued if ϕ(x) is an unordered subset of n points of Y for each x ∈ X. The (continuous) n-valued multimaps ϕ: S¹ ⊸ S¹ are classified up to homotopy by an integer-valued degree. In the Nielsen fixed point theory of such multimaps, due to Schirmer, the Nielsen number N(ϕ) of an n-valued ϕ: S¹ ⊸ S¹ of degree d equals |n - d| and ϕ is homotopic to an n-valued power map that has exactly |n - d| fixed points. Thus the Wecken property, that Schirmer established for manifolds...
Fixed points of set-valued maps with closed proximally ∞-connected values
Introduction Many authors have developed the topological degree theory and the fixed point theory for set-valued maps using homological techniques (see for example [19, 28, 27, 16]). Lately, an elementary technique of single-valued approximation (on the graph) (see [11, 1, 13, 5, 9, 2, 6, 7]) has been used in constructing the fixed point index for set-valued maps with compact values (see [21, 20, 4]). In [20, 4] authors consider set-valued upper semicontinuous...
Fixed points of symmetric product mappings of polyhedra and metric absolute neighborhood retracts
Fixed points on Klein bottle fiber bundles over the circle
The main purpose of this work is to study fixed points of fiber-preserving maps over the circle S¹ for spaces which are fiber bundles over S¹ and the fiber is the Klein bottle K. We classify all such maps which can be deformed fiberwise to a fixed point free map. The similar problem for torus fiber bundles over S¹ has been solved recently.
Fixed points on torus fiber bundles over the circle
The main purpose of this work is to study fixed points of fiber-preserving maps over the circle S¹ for spaces which are fibrations over S¹ and the fiber is the torus ,T. For the case where the fiber is a surface with nonpositive Euler characteristic, we establish general algebraic conditions, in terms of the fundamental group and the induced homomorphism, for the existence of a deformation of a map over S¹ to a fixed point free map. For the case where the fiber is a torus, we classify all maps over...
Fixed points, periodic points, and coin-tossing sequences for mappings defined on two-dimensional cells.
Fixed-Point Sets of Group Actions on Finite Acyclic Complexes.
Fix-finite and fixed point free approximations of symmetric product maps
Fix-finite approximation of n-valued multifunctions