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Fixed points of surface homeomorphisms. (English) Zbl 0479.55003


MSC:

55M20 Fixed points and coincidences in algebraic topology
57N05 Topology of the Euclidean \(2\)-space, \(2\)-manifolds (MSC2010)
37-XX Dynamical systems and ergodic theory
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References:

[1] Robert F. Brown, The Lefschetz fixed point theorem, Scott, Foresman and Co., Glenview, Ill.-London, 1971. · Zbl 0216.19601
[2] Travaux de Thurston sur les surfaces, Astérisque, vol. 66, Société Mathématique de France, Paris, 1979 (French). Séminaire Orsay; With an English summary. · Zbl 0731.57001
[3] Bo Ju Jiang, On the least number of fixed points, Amer. J. Math. 102 (1980), no. 4, 749 – 763. · Zbl 0455.55001 · doi:10.2307/2374094
[4] Bo Ju Jiang, Fixed point classes from a differential viewpoint, Fixed point theory (Sherbrooke, Que., 1980) Lecture Notes in Math., vol. 886, Springer, Berlin-New York, 1981, pp. 163 – 170.
[5] Jakob Nielsen, Untersuchungen zur Topologie der geschlossenen zweiseitigen Flächen, Acta Math. 50 (1927), no. 1, 189 – 358 (German). · JFM 53.0545.12 · doi:10.1007/BF02421324
[6] William P. Thurston, On the geometry and dynamics of diffeomorphisms of surfaces, Bull. Amer. Math. Soc. (N.S.) 19 (1988), no. 2, 417 – 431. · Zbl 0674.57008
[7] Franz Wecken, Fixpunktklassen. I, Math. Ann. 117 (1941), 659 – 671 (German). · Zbl 0024.08405 · doi:10.1007/BF01450034
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