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# 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… Expand
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## Papers overview

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2008
2008
• 2008
• Corpus ID: 73662193
Let f : M → M be a self-map on the Klein bottle M . We compute the Lefschetz number and the Nielsen number of f by using the… Expand
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2007
2007
Abstract.Given two maps f1 and f2 from the sphere Sm to an n-manifold N, when are they loose, i.e. when can they be deformed away… Expand
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Highly Cited
2005
Highly Cited
2005
• 2005
• Corpus ID: 84976010
Although cyclopoids of the genus Oithona are considered the most abundant cope- pods in the marine environment, there is still… Expand
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2004
2004
• 2004
• Corpus ID: 12648466
Let X be a compact 2-manifold with nonempty boundary @X and let f :( X;@X)! (X;@X) be a boundary-preserving map. Denote by MF@ (f… Expand
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2003
2003
• 2003
• Corpus ID: 16700798
The relative Reidemeister number, denoted by $\text{\rm R}(f;X,A)$, is an upper bound for the relative Nielsen number, denoted… Expand
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1999
1999
Let f: M -M be a self-map of a hyperbolic surface with boundary. The Nielsen number, N(f), depends only on the induced map f# of… Expand
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1999
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… Expand
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1995
1995
• 1995
• Corpus ID: 118417518
Nielsen coincidence theory is concerned with the estimation of a lower bound for the number of coincidences of two maps \$f,g: X… Expand
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1993
1993
We generalize the coincidence semi-index introduced in (D-J) to pairs of maps between topological manifolds. This permits… Expand
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