A survey of minimal sets

Walter H. Gottschalk

Annales de l'institut Fourier (1964)

  • Volume: 14, Issue: 1, page 53-60
  • ISSN: 0373-0956

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Gottschalk, Walter H.. "A survey of minimal sets." Annales de l'institut Fourier 14.1 (1964): 53-60. <http://eudml.org/doc/73830>.

@article{Gottschalk1964,
author = {Gottschalk, Walter H.},
journal = {Annales de l'institut Fourier},
keywords = {topology},
language = {eng},
number = {1},
pages = {53-60},
publisher = {Association des Annales de l'Institut Fourier},
title = {A survey of minimal sets},
url = {http://eudml.org/doc/73830},
volume = {14},
year = {1964},
}

TY - JOUR
AU - Gottschalk, Walter H.
TI - A survey of minimal sets
JO - Annales de l'institut Fourier
PY - 1964
PB - Association des Annales de l'Institut Fourier
VL - 14
IS - 1
SP - 53
EP - 60
LA - eng
KW - topology
UR - http://eudml.org/doc/73830
ER -

References

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  1. [1] Joseph AUSLANDER, Mean-L-stable systems, Illinois, Journal of Mathematics vol. 3 (1959), pp. 566-579. Zbl0097.11102MR26 #6950
  2. [2] Joseph AUSLANDER, Endomorphisms of minimal sets, Duke Mathematical Journal, vol. 30, (1963), pp. 605-614. Zbl0116.14502MR27 #5245
  3. [3] L. AUSLANDER, F. HAHN and L. MARKUS, Topological dynamics on nil manifolds, Bulletin of the American Mathematical Society, vol. 67 (1961), pp. 298-299. Zbl0099.39102MR23 #A636
  4. [4] L. AUSLANDER, L. GREEEN and F. HAHN, Flows on Homogeneous Spaces, Annals of Mathematics studies, n° 53, Princeton, 1963. Zbl0106.36802
  5. [5] G. D. BIRKHOFF, Quelques théorèmes sur le mouvement des systèmes dynamiques, Bulletin de la Société mathématiques de France, vol. 40 (1912), pp. 305-323. Zbl43.0818.01JFM43.0818.01
  6. [6] HSIN CHU and M. A. GERAGHTY, The fundamental group and the first co homology group of a minimal set, Bulletin of the American Mathematical Society, vol. 69 (1963), pp. 377-381. Zbl0112.37901
  7. [7] Robert ELLIS, Distal transformation groups, Pacific Journal of Mathematics, vol. 8 (1958), pp. 401-405. Zbl0092.39702
  8. [8] Robert ELLIS, Universal minimal sets, Proceedings of the American Mathematical Society, vol. II (1960), pp. 540-543. Zbl0102.38002MR22 #8491
  9. [9] Robert ELLIS and W. H. GOTTSCHALK, Homomorphisms of transformation groups, Transactions of the American Mathematical Society, vol. 94 (1960), pp. 258-271. Zbl0094.17401MR23 #A960
  10. [10] I. M. GEL'FAND and S. V. FOMIN, Geodesic flows on manifolds of constant negative curvature, Uspehi Matematiceskih Nauk, vol. 7 (1952), pp. 118-137 ; English translation, American Mathematical Society Translations, Series 2, vol. I (1955), pp. 49-65. Zbl0066.36101
  11. [11] I. M. GEL'FAND and I. I. PYATECKII-SAPIRO, A theorem of Poincaré, Doklady Akademii Nauk SSSR, vol. 127 (1959), pp. 490-493 (Russian). Zbl0107.17101MR21 #6460
  12. [12] W. H. GOTTSCHALK and G. A. HEDLUND, Topological dynamics, American Mathematical Society Colloquium Publications, vol. 36, Providence, 1955. Zbl0067.15204MR17,650e
  13. [13] W. H. GOTTSCHALK, Minimal sets : an introduction to topological dynamics, Bulletin of the American Mathematical Society, vol. 64 (1958), pp. 336-351. Zbl0085.17401MR20 #6484
  14. [14] W. H. GOTTSCHALK, Bibliography of topogical dynamics, mimeographed, 426 entries, Published by the University of Alabama, Research Institute, Huntsville, Alabama, and Department of Mathematics, University Alabama ; for copies write : Professor GOTTSCHALK, Department of Mathematics, Wesleyan University Middletown, Connect cut. 
  15. [15] W. H. GOTTSCHALK, An irreversible minimal set, Tulane Ergodic Theory Symposium, Academic Press, New-York, 1963. Zbl0147.41802MR28 #3413
  16. [16] W. H. GOTTSCHALK, Substitution minimal sets, Transactions of the American Mathematical Society, vol. 109 (1963), pp. 467-491. Zbl0121.18002MR32 #8325
  17. [17] G. A. HEDLUND, Fushsian groups and transitive horocycles, Duke Mathematical Journal, vol. 2 (1936), pp. 530-542. Zbl0015.10201JFM62.0392.03
  18. [18] G. A. HEDLUND, The dynamics of geodesic flows, Bulletin of the American Mathematical Society, vol. 45 (1939), pp. 241-260. Zbl0020.40303JFM65.0793.02
  19. [19] MARSTON MORSE, A one-to-one representation of geodesics on a surface of negative curvature, American Journal of Mathematics, vol. 43 (1921), pp. 33-51. Zbl48.0786.05JFM48.0786.05
  20. [20] MARSTON MORSE, Recurrent geodesics on a surface of negative curvature, Transactions of the American Mathematical Society, vol. 22 (1921), pp. 84-100. Zbl48.0786.06JFM48.0786.06

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