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Bibliography
S. Alpern, New proofs that weak mixing is generic, Invent. Math. 32 (1976), 263–278.
S. Alpern, Approximation to and by measure preserving homeomorphisms, Journal of the London Maths. Soc., to appear.
S. Alpern, A topological analog of Halmos' Conjugacy Lemma, Invent. Math., 48, (1978), 1–6.
S. Alpern and R. D. Edwards, Lusin's Theorem for measure preserving homeomorphisms, to appear, in: Mathematika.
M. Denker, C. Grillenberger and K. Sigmund, Ergodic Theory on Compact Spaces, Lecture Notes in Mathematics, Vol. 527, Springer, Berlin (1973), 206–217.
C. Grillenberger and U. Krengel, On marginal distributions and isomorphisms of stationary processes, Math. Zeit. 149 (1976), 131–154.
P. Halmos, In general, a measure preserving transformation is mixing. Ann. of Math. 45 (1944), 786–792.
P. Halmos, Lectures on ergodic theory, Chelsea, New York, 1956.
A. Katok and A. Stepin, Metric properties of measure preserving homeomorphisms, Uspekhi Mat. Nauk. 25:2 (1970), 193–220. (Russian Math. Surveys 25 (1970), 191–220.)
D. Lind and J. Thouvenot, Measure preserving homeomorphisms of the torus represent all finite entropy ergodic transformations, Math. Systems Theory II (1978), 275–282.
J. Oxtoby, Approximation by measure preserving homeomorphisms, Recent Advances in Topological Dynamics; Lecture Notes in Mathematics Vol. 318, Springer, Berlin (1973), 206–217.
J. Oxtoby and V. Praaad, Homeomorphic measures in the Hilbert cube, Pacific J. Math., to appear.
J. Oxtoby and S. Ulam, Measure-preserving homeomorphisms and metrical transitivity, Ann. of Math. (2)-2 (1941), 874–920.
H. E. White, Jr., The approximation of one-one measurable transformations by measure preserving homeomorphisms, Proc. Amer. Math. Soc. 44 (1974), 391–394.
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Alpern, S. (1979). Generic properties of measure preserving homeomorphisms. In: Denker, M., Jacobs, K. (eds) Ergodic Theory. Lecture Notes in Mathematics, vol 729. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0063279
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DOI: https://doi.org/10.1007/BFb0063279
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