Bulletin of the American Mathematical Society

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Book Information:

Author: Joseph Auslander
Title: Minimal flows and their extensions
Additional book information: North-Holland Mathematical Studies, vol. 153, North-Holland, Amsterdam, New York, Oxford and Tokyo, 1988, xi + 265 pp., $86.75. ISBN 0-444-70453-1.

Walter Helbig Gottschalk and Gustav Arnold Hedlund, Topological dynamics, American Mathematical Society Colloquium Publications, Vol. 36, American Mathematical Society, Providence, R.I., 1955. MR 0074810

Robert Ellis, A semigroup associated with a transformation group, Trans. Amer. Math. Soc. 94 (1960), 272–281. MR 123636, DOI 10.1090/S0002-9947-1960-0123636-3

Robert Ellis, The Veech structure theorem, Trans. Amer. Math. Soc. 186 (1973), 203–218 (1974). MR 350712, DOI 10.1090/S0002-9947-1973-0350712-1

Robert Ellis, Lectures on topological dynamics, W. A. Benjamin, Inc., New York, 1969. MR 0267561

[A-G-H] L. Auslander, L. Green and F. Hahn, Flows on homogeneous spaces, Ann. of Math. Studies no. 53, Princeton Univ. Press, Princeton, N. J., 1963.

H. Furstenberg, The structure of distal flows, Amer. J. Math. 85 (1963), 477–515. MR 157368, DOI 10.2307/2373137

[D] F. M. Dekking, Combinatorial and statistical properties of sequences generated by substitutions, Ph. D. Thesis, Katholicke Universiteit, Nijmegen, 1980.

William A. Veech, Point-distal flows, Amer. J. Math. 92 (1970), 205–242. MR 267560, DOI 10.2307/2373504

William A. Veech, Topological dynamics, Bull. Amer. Math. Soc. 83 (1977), no. 5, 775–830. MR 467705, DOI 10.1090/S0002-9904-1977-14319-X

Robert Ellis, Shmuel Glasner, and Leonard Shapiro, Proximal-isometric ($\scr P\scr J$) flows, Advances in Math. 17 (1975), no. 3, 213–260. MR 380755, DOI 10.1016/0001-8708(75)90093-6

Shmuel Glasner, Proximal flows, Lecture Notes in Mathematics, Vol. 517, Springer-Verlag, Berlin-New York, 1976. MR 0474243

[B] I. V. Bronstein, Extensions of minimal transformation groups, Sitjthoff and Noordhoff, 1979. (Russian edition, 1975)

John C. Martin, Substitution minimal flows, Amer. J. Math. 93 (1971), 503–526. MR 300261, DOI 10.2307/2373391

[G-H] W. H. Gottschalk and G. H. Hedlund, Topological dynamics, Amer. Math. Soc. Colloq. Publ., vol. 36, Amer. Math. Soc., Providence, R. I., 1955. MR 0074810




[E, 1] R. Ellis, A semigroup associated with a transformation group, Trans. Amer. Math. Soc. 94 (1960), 272-281. MR 123636




[E, 2] R. Ellis, The Veechs Structure Theorem, Trans. Amer. Math. Soc. 186 (1973), 203-218. MR 350712




[E, 3] R. Ellis, Lectures on topological dynamics, Benjamin, New York, 1969. MR 267561




[A-G-H] L. Auslander, L. Green and F. Hahn, Flows on homogeneous spaces, Ann. of Math. Studies no. 53, Princeton Univ. Press, Princeton, N. J., 1963.




[F] H. Furstenberg, The structure of distal flows, Amer. J. Math. 85 (1963), 477-515. MR 157368




[D] F. M. Dekking, Combinatorial and statistical properties of sequences generated by substitutions, Ph. D. Thesis, Katholicke Universiteit, Nijmegen, 1980.




[V, 1] W. A. Veech, Point distal flows, Amer. J. Math. 92 (1970), 205-242. MR 267560




[V, 2] W. A. Veech, Topological dynamics, Bull. Amer. Math. Soc. 83 (1977), 775-830. MR 467705




[E-G-S] R. Ellis, S. Glasner and L. Shapiro, PI-flows, Adv. in Math. 17 (1975), 213-260. MR 380755




[G] S. Glasner, Proximal flows, Lecture Notes in Math., vol. 517, Springer-Verlag, Berlin and New York, 1976. MR 474243




[B] I. V. Bronstein, Extensions of minimal transformation groups, Sitjthoff and Noordhoff, 1979. (Russian edition, 1975)




[M] J. C. Martin, Substitution minimal flows, Amer. J. Math. 93 (1971), 503-526. MR 300261