Nielsen theory

Known as: Nielsen fixed-point theorem, Nielsen number

Nielsen theory is a branch of mathematical research with its origins in topological fixed point theory. Its central ideas were developed by Danish…

Papers overview

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2011

The problem on the minimal number (with respect to deformation) of intersection points of two closed curves on a surface is…

2007

Suppose M 1 ; M 2 are compact, connected orientable manifolds of the same dimension. Then for all pairs of maps f,g:M 1 ?! M 2…

2007

In addition to the many diierent Nielsen-type numbers that have been introduced to study xed points, there are Nielsen-type…

2005

In reply to a problem of Jean Leray (application of the Nielsen theory to differential equations), two main approaches are…

2003

1999

By using the fixed subgroup Fixf π of f π, the homomorphism on π 1(X,x 0), and that the subgrup H=Fixf π· Ker f π of π 1(X,x 0…

1996

1995

Nielsen coincidence theory is concerned with the estimation of a lower bound for the number of coincidences of two maps $f,g: X…

1992

Let f:M —► M be a self-map of a solvmanifold M. Then the Lefschetz number L(f) and the Nielsen number N(f) of / satisfy \L(f)\ 1…

1974