Minimizing the number of fixed points for self-maps of compact surfaces

DOI10.2140/pjm.1987.126.81zbMath0571.55003OpenAlexW1965635160MaRDI QIDQ1061383

Michael R. Kelly

Publication date: 1987

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1987.126.81

zbMATH Keywords

Nielsen numberminimum number of fixed pointsregular neighborhood of the figure-eight in the plane

Mathematics Subject Classification ID

Fixed points and coincidences in algebraic topology (55M20)

Related Items

The boundary-Wecken classification of surfaces, Isotopic homeomorphisms and Nielsen fixed point theory, The Nielsen number as an isotopy invariant, Some developments in Nielsen fixed point theory, Fixed points of \(n\)-valued maps on surfaces and the Wecken property -- a configuration space approach, Minimum numbers and Wecken theorems in topological coincidence theory. I, Classes of Wecken maps of surfaces with boundary, Periods, Lefschetz numbers and entropy for a class of maps on a bouquet of circles, FIXED POINTS AND COINCIDENCES IN TORUS BUNDLES, The Wecken property for random maps on surfaces with boundary, Nielsen numbers in topological coincidence theory, The least number, of \(n\)-periodic points of a self-map of a solvmanifold, can be realised by a smooth map, Reidemeister coincidence invariants of fiberwise maps, The WYK algorithm for maps of aspherical figure-eight type finite polyhedra, Fixed points and graph images for minimal maps on the once punctured torus, The Nielsen number on aspherical figure-eight type polyhedra, MINIMUM NUMBER OF FIXED POINTS FOR MAPS OF THE FIGURE EIGHT SPACE, Some examples concerning homotopies of fixed point free maps, Fixed points of boundary-preserving maps of punctured discs, Commutativity and Wecken properties for fixed points on surfaces and 3- manifolds, Fixed points of boundary-preserving maps on punctured projective planes