On composants of solenoids

• Autorzy: Ronald de Man
• Języki publikacji: EN

Abstrakty

EN

It is proved that any two composants of any two solenoids are homeomorphic.

Kategorie tematyczne

• 54H20: Topological dynamics
• 54F15: Continua and generalizations
• 54F65: Topological characterizations of particular spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 1995
• Tom: 147
• Numer: 2
• Strony: 181-188

Daty

wydano

1995

otrzymano

1994-08-23

poprawiono

1995-01-18

Twórcy

autor

Ronald de Man

• Faculteit Wiskunde en Informatica, TU Eindhoven, Postbus 513, 5600 MB Eindhoven, The Netherlands

Bibliografia

• [1] J. M. Aarts, The structure of orbits in dynamical systems, Fund. Math. 129 (1988), 39-58.
• [2] J. M. Aarts and R. J. Fokkink, The classification of solenoids, Proc. Amer. Math. Soc. 111 (1991), 1161-1163.
• [3] R. H. Bing, A simple closed curve is the only homogeneous bounded plane continuum that contains an arc, Canad. J. Math. 12 (1960), 209-230.
• [4] C. Bandt, Composants of the horseshoe, Fund. Math. 144 (1994), 231-241.
• [5] D. van Dantzig, Ueber topologisch homogene Kontinua, ibid. 15 (1930), 102-125.
• [6] R. J. Fokkink, The structure of trajectories, PhD thesis, Delft, 1991.
• [7] R. J. Fokkink, There exist uncountably many orbits in flows, Fund. Math. 136 (1990), 147-156.
• [8] A. van Heemert, Topologische Gruppen und unzerlegbare Kontinua, Compositio Math. 5 (1938), 319-326.
• [9] M. C. McCord, Inverse limit sequences with covering maps, Trans. Amer. Math. Soc. 114 (1965), 197-209.