On Suitable Manifolds.
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...
Epsilon Nielsen fixed point theory.
The boundary-Wecken classification of surfaces.
The Lefschetz-Hopf theorem and axioms for the Lefschetz number.
Nielsen theory and related topics. Proceedings of the international conference, St. John's, Newfoundland, Canada, June 28–July 2, 2004.
Correction to “Fixed points of maps of a nonaspherical wedge”.
Fixed points of maps of a nonaspherical wedge.
Page 1