On composants of solenoids

Ronald de Man

Fundamenta Mathematicae (1995)

  • Volume: 147, Issue: 2, page 181-188
  • ISSN: 0016-2736

Abstract

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

How to cite

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de Man, Ronald. "On composants of solenoids." Fundamenta Mathematicae 147.2 (1995): 181-188. <http://eudml.org/doc/212082>.

@article{deMan1995,
abstract = {It is proved that any two composants of any two solenoids are homeomorphic.},
author = {de Man, Ronald},
journal = {Fundamenta Mathematicae},
language = {eng},
number = {2},
pages = {181-188},
title = {On composants of solenoids},
url = {http://eudml.org/doc/212082},
volume = {147},
year = {1995},
}

TY - JOUR
AU - de Man, Ronald
TI - On composants of solenoids
JO - Fundamenta Mathematicae
PY - 1995
VL - 147
IS - 2
SP - 181
EP - 188
AB - It is proved that any two composants of any two solenoids are homeomorphic.
LA - eng
UR - http://eudml.org/doc/212082
ER -

References

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  1. [1] J. M. Aarts, The structure of orbits in dynamical systems, Fund. Math. 129 (1988), 39-58. Zbl0664.54026
  2. [2] J. M. Aarts and R. J. Fokkink, The classification of solenoids, Proc. Amer. Math. Soc. 111 (1991), 1161-1163. Zbl0768.54026
  3. [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. Zbl0091.36204
  4. [4] C. Bandt, Composants of the horseshoe, Fund. Math. 144 (1994), 231-241. Zbl0818.54028
  5. [5] D. van Dantzig, Ueber topologisch homogene Kontinua, ibid. 15 (1930), 102-125. 
  6. [6] R. J. Fokkink, The structure of trajectories, PhD thesis, Delft, 1991. Zbl0768.54028
  7. [7] R. J. Fokkink, There exist uncountably many orbits in flows, Fund. Math. 136 (1990), 147-156. Zbl0737.54021
  8. [8] A. van Heemert, Topologische Gruppen und unzerlegbare Kontinua, Compositio Math. 5 (1938), 319-326. 
  9. [9] M. C. McCord, Inverse limit sequences with covering maps, Trans. Amer. Math. Soc. 114 (1965), 197-209. Zbl0136.43603

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