Zobrazeno 1 - 10
of 55
pro vyhledávání: '"Helga Schirmer"'
Publikováno v:
Topology and its Applications. 125(1):1-46
Let p :M→X and q :N→Y be locally trivial bundles, with fibres F and G , respectively, where all the spaces are connected closed manifolds, but neither the manifolds nor the bundles need be orientable. Assume further that dim X =dim Y and dim F =d
Publikováno v:
Topology and its Applications. 116(1):5-27
Brouwer's homological degree has the multiplicative property for the composition of maps. That is, if f :X→Y and g :Y→Z are maps between closed oriented manifolds X,Y,Z of the same dimension, then | deg (g∘f)|=| deg (f)|| deg (g)| . Hopf's abso
Autor:
Robert F. Brown, Helga Schirmer
Publikováno v:
Pacific Journal of Mathematics. 198:49-80
Autor:
Helga Schirmer, Robert F. Brown
Publikováno v:
Topology and its Applications. 92(3):247-274
A relative root Nielsen number N rel (ƒ; c) is introduced which is a homotopy invariant lower bound for the number of roots at c for a map of pairs of spaces ƒ : (X, A) → (Y, B) and c ϵ Y . Conditions are given which ensure that N rel (ƒ; c) is
Publikováno v:
Topology and its Applications. 66:129-157
Let f : X → X be a selfmap of a path-connected space and let a ϵ X. We call x ϵ X an irreducible root of, fn, at a if fn(x) = a but fm(x) ≠ a for all m < n, where fn denotes the nth iterate of f. A lower bound N In(f;a) for the number of irredu
Publikováno v:
Topology and its Applications. 63:97-116
Two homotopy invariant Nielsen type numbers exist for periodic points of a self-map ƒ: X → X of a compact connected ANR X, namely NP n (ƒ) , the Nielsen type number of period n, and NΦ n (ƒ) , the Nielsen type number of the nth iterate. The fir
Autor:
Helga Schirmer
Publikováno v:
Topology and its Applications. 52:181-202
Let ƒ:(X,A1,A2) → (X,A1,A2) be a selfmap of a triad which consist of a compact connected polyhedron X and two subpolyhedra A1 and A2 so that X = A1 ∪ A2. A Nielsen type number N(ƒ;A1 ∪ A2), called the Nielsen number of the triad, is defined w
Autor:
Helga Schirmer
Publikováno v:
Nielsen Theory and Dynamical Systems. :291-309
Autor:
Helga Schirmer
Publikováno v:
Fundamenta Mathematicae. 137:1-8
Autor:
Helga Schirmer
Publikováno v:
Topology and its Applications. 37(2):153-162
Let ⨍:X→X be a self-map of a compact ANR and A ⊂ X a closed subset. Two conditions are stated which are necessary for the realization of A as the fixed point set of a map g in the homotopy class of f, and it is shown that these conditions are a