An algorithm for calculating the Nielsen number on surfaces with boundary

DOI10.1090/S0002-9947-99-01827-9zbMath0910.55001MaRDI QIDQ4216311

Joyce Wagner

Publication date: 26 October 1998

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

remnant\(W\)-characteristicfixed points of maps of surfaces with boundaryJiang Guo inequality

Mathematics Subject Classification ID

Fixed points and coincidences in algebraic topology (55M20)

Related Items (17)

Algorithms for Nielsen type periodic numbers of maps with remnant on surfaces with boundary and on bouquets of circles II ⋮ Computation of Nielsen numbers for maps of compact surfaces with boundary ⋮ Dynamics of random selfmaps of surfaces with boundary ⋮ Construction of multiply fixed \(n\)-valued maps ⋮ Nielsen classes of orientation reversing homeomorphisms and complementary domains of plane separating invariant continua ⋮ The twisted conjugacy problem for finitely generated free groups. ⋮ Some developments in Nielsen fixed point theory ⋮ The mod \(H\) Nielsen theory and the \(q\)-Nielsen theory ⋮ Classes of Wecken maps of surfaces with boundary ⋮ Estimating Nielsen numbers on wedge product spaces ⋮ Remnant inequalities and doubly-twisted conjugacy in free groups ⋮ The Wecken property for random maps on surfaces with boundary ⋮ Typical elements in free groups are in different doubly-twisted conjugacy classes ⋮ The WYK algorithm for maps of aspherical figure-eight type finite polyhedra ⋮ The Nielsen number on aspherical figure-eight type polyhedra ⋮ Fixed points of maps of a nonaspherical wedge ⋮ The generalized Lefschetz number of homeomorphisms on punctured disks

Cites Work

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• Fixed points and braids
• Fixed points of surface diffeomorphisms
• Fixed points and braids. II
• Lectures on Nielsen fixed point theory
• Fixed points of surface homeomorphisms
• Computation of Nielsen numbers for maps of closed surfaces

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