References
- S.A. Andrea, On homeomorphisms of the plane which have no fixed points, Abh. Math. Sem. Hamburg 30 (1967), pp. 61–74. doi: 10.1007/BF02993992
- F. Béguin and F. LeRoux, Ensemble oscillant d'un homéomorphisme de Brouwer, homéomorphismes de Reeb, Bull. Soc. Math. France 131(2) (2003), pp. 149–210. doi: 10.24033/bsmf.2439
- L.E.J. Brouwer, Beweis des ebenen Translationssatzes, Math. Ann. 72 (1912), pp. 37–54. doi: 10.1007/BF01456888
- M. Brown, Fundamental regions of planar homeomorphisms, Contemp. Math. 117 (1991), pp. 49–56. doi: 10.1090/conm/117/1112802
- E.W. Daw, A maximally pathological Brouwer homeomorphism, Trans. Amer. Math. Soc. 343 (1994), pp. 559–573. doi: 10.1090/S0002-9947-1994-1173856-7
- T. Homma and H. Terasaka, On the structure of the plane translation of Brouwer, Osaka. Math. J. 5 (1953), pp. 233–266.
- F. LeRoux, A.G. O'Farrell, M. Roginskaya, and I. Short, Flowability of plane homeomorphisms, Ann. Inst. Fourier 62(2) (2012), pp. 619–639. doi: 10.5802/aif.2689
- Z. Leśniak, On an equivalence relation for free mappings embeddable in a flow, Internat. J. Bifur. Chaos Appl. Sci. Engrg. 13(7) (2003), pp. 1911–1915. doi: 10.1142/S0218127403007746
- Z. Leśniak, On parallelizability of flows of free mappings, Aequationes Math. 71(3) (2006), pp. 280–287. doi: 10.1007/s00010-005-2808-4
- Z. Leśniak, On fractional iterates of a Brouwer homeomorphism embeddable in a flow, J. Math. Anal. Appl. 366(1) (2010), pp. 310–318. doi: 10.1016/j.jmaa.2009.12.033
- Z. Leśniak, On the structure of Brouwer homeomorphisms embeddable in a flow, Abstr. Appl. Anal. 2012 (2012), 8 pp. Article ID 248413.
- Z. Leśniak, On properties of the set of invariant lines of a Brouwer homeomorphism, J. Differ. Equ. Appl. 24 (2018), pp. 746–752. doi: 10.1080/10236198.2017.1337107
- H. Nakayama, A non flowable plane homeomorphism whose non Hausdorff set consists of two disjoint lines, Houston J. Math. 21(3) (1995), pp. 569–572.
- H. Nakayama, Limit sets and square roots of homeomorphisms, Hiroshima Math. J. 26 (1996), pp. 405–413. doi: 10.32917/hmj/1206127370