Add to ORKGAbstract:- D. Anosov showed that for any selfmap f: X! X of a nilmanifold X,N(f) = L(f) whereN(f) and L(f) denote the Nielsen and the Lefschetz number of f, respectively. We introduce generalized Lefschetz and Nielsen type numbers for maps of pairs, denoted by L(f;X;A) andN(f;X;A) so that if f: (X;A)! (X;A) is a map of a pair of nilmanifolds, thenN(f;X;A) = L(f;X;A) = provided L(f) L(f A) 0
AbstractSuppose M1,M2 are compact, connected orientable manifolds of the same dimension. Then for al...
AbstractLet f: (X, A)→(X, A) be an admissible selfmap of a pair of metrizable ANR's. A Nielsen numbe...
Let/. It :0 ---0 G be any two self maps of a compact connected oriented Lie group G. In this paper, ...
AbstractA theorem of D. Anosov states that, for any selfmap f: M → M of a compact nilmanifold M, N(f...
AbstractD. Anosov shows that N(f)=|L(f)| for all continuous selfmaps f on a nilmanifold. For a given...
AbstractMcCord (1991) claimed that Nielsen coincidence numbers and Lefschetz coincidence numbers are...
AbstractThe generalized Lefschetz number of a selfmap on a finite CW complex is a trace-like quantit...
Given a pair of maps f, g: N1 → N2 where N1, N2 are compact nilmanifolds of the same dimension, in [...
Let $f\colon M\to M$ be a self-map on a $3$-dimensional flat Riemannian $M$. We compute the Lefschet...
AbstractThe Reidemeister number R(f) is an upper bound for the Nielsen number N(f) of a selfmap f. F...
We prove that N ( f) = |L ( f) | for any continuous map f of a given infranilmanifold with Abelian h...
In the study of fixed point theorems for a continuous map f: X ~ X, X a compact connected metric ANR...
In this paper, we investigate the finiteness of the Reidemeister number R(f) of a selfmap f:M → M on...
It is conjectured that every closed manifold admitting an Anosov diffeomorphism is, up to homeomorph...
Let A, $X_1$ and $X_2$ be topological spaces and let $i_1 : A → X_1$, $i_2: A → X_2$ be continuous m...
AbstractSuppose M1,M2 are compact, connected orientable manifolds of the same dimension. Then for al...
AbstractLet f: (X, A)→(X, A) be an admissible selfmap of a pair of metrizable ANR's. A Nielsen numbe...
Let/. It :0 ---0 G be any two self maps of a compact connected oriented Lie group G. In this paper, ...
AbstractA theorem of D. Anosov states that, for any selfmap f: M → M of a compact nilmanifold M, N(f...
AbstractD. Anosov shows that N(f)=|L(f)| for all continuous selfmaps f on a nilmanifold. For a given...
AbstractMcCord (1991) claimed that Nielsen coincidence numbers and Lefschetz coincidence numbers are...
AbstractThe generalized Lefschetz number of a selfmap on a finite CW complex is a trace-like quantit...
Given a pair of maps f, g: N1 → N2 where N1, N2 are compact nilmanifolds of the same dimension, in [...
Let $f\colon M\to M$ be a self-map on a $3$-dimensional flat Riemannian $M$. We compute the Lefschet...
AbstractThe Reidemeister number R(f) is an upper bound for the Nielsen number N(f) of a selfmap f. F...
We prove that N ( f) = |L ( f) | for any continuous map f of a given infranilmanifold with Abelian h...
In the study of fixed point theorems for a continuous map f: X ~ X, X a compact connected metric ANR...
In this paper, we investigate the finiteness of the Reidemeister number R(f) of a selfmap f:M → M on...
It is conjectured that every closed manifold admitting an Anosov diffeomorphism is, up to homeomorph...
Let A, $X_1$ and $X_2$ be topological spaces and let $i_1 : A → X_1$, $i_2: A → X_2$ be continuous m...
AbstractSuppose M1,M2 are compact, connected orientable manifolds of the same dimension. Then for al...
AbstractLet f: (X, A)→(X, A) be an admissible selfmap of a pair of metrizable ANR's. A Nielsen numbe...
Let/. It :0 ---0 G be any two self maps of a compact connected oriented Lie group G. In this paper, ...