The relative Reidemeister numbers of fiber map pairs
Słowa kluczowe
Relative Nielsen number, relative Reidemeister number, fixed points of pairs, fiber-preserving maps, asymptotic Nielsen type numberAbstrakt
The relative Reidemeister number, denoted by $\text{\rm R}(f;X,A)$, is an upper bound for the relative Nielsen number, denoted by $\text{\rm N}(f;X,A)$). If $(f,f_{A})$ is a pair of fibre-preserving maps of a pair of Hurewicz fibrations, then under certain conditions, the relative Reidemeister number can be calculated in terms of those on the base and on the fiber. In this paper, we give addition formulas for $\text{\rm R}(f;X,A)$ and for the relative Reidemeister number on the complement $\text{\rm R}(f;X-A)$. As an application, we give estimation of the asymptotic Nielsen type number $text{\rm NI}^{\infty}(f)$.Pobrania
Opublikowane
2003-03-01
Jak cytować
1.
CARDONA, Fernanda S. P. & WONG, Peter N. S. The relative Reidemeister numbers of fiber map pairs. Topological Methods in Nonlinear Analysis [online]. 1 marzec 2003, T. 21, nr 1, s. 131–145. [udostępniono 3.7.2024].
Numer
Dział
Articles
Statystyki
Liczba wyświetleń i pobrań: 0
Liczba cytowań: 0