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On the group of piecewise linear monotone bijections of an arc. (English) Zbl 0418.57011

MSC:
57Q99 PL-topology
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References:
[1] Schreier, J., Ulam, S.: Eine Bemerkung über die Gruppe der topologischen Abbildungen der Kreislinie auf sich selbst. Studia Math.,5, 155-59 (1934) · Zbl 0013.05603
[2] Fine, N.J., Schweigert, G.E.: On the group of homeomorphisms of an arc. Ann. of Math. (2)62, 237-53 (1955) · Zbl 0066.41305 · doi:10.2307/1969678
[3] Salzmann, H.: Zahlbereiche I. Vorlesungsausarbeitung. Tübingen 1972
[4] Smart, J.R.: Fixed point theorems, Cambridge-London: Cambridge University Press 1979 · Zbl 0427.47036
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