# On the countable generator theorem

Fundamenta Mathematicae (1998)

- Volume: 157, Issue: 2-3, page 255-259
- ISSN: 0016-2736

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topKeane, Michael, and Serafin, Jacek. "On the countable generator theorem." Fundamenta Mathematicae 157.2-3 (1998): 255-259. <http://eudml.org/doc/212290>.

@article{Keane1998,

abstract = {Let T be a finite entropy, aperiodic automorphism of a nonatomic probability space. We give an elementary proof of the existence of a finite entropy, countable generating partition for T.},

author = {Keane, Michael, Serafin, Jacek},

journal = {Fundamenta Mathematicae},

keywords = {entropy; generating partition; automorphism},

language = {eng},

number = {2-3},

pages = {255-259},

title = {On the countable generator theorem},

url = {http://eudml.org/doc/212290},

volume = {157},

year = {1998},

}

TY - JOUR

AU - Keane, Michael

AU - Serafin, Jacek

TI - On the countable generator theorem

JO - Fundamenta Mathematicae

PY - 1998

VL - 157

IS - 2-3

SP - 255

EP - 259

AB - Let T be a finite entropy, aperiodic automorphism of a nonatomic probability space. We give an elementary proof of the existence of a finite entropy, countable generating partition for T.

LA - eng

KW - entropy; generating partition; automorphism

UR - http://eudml.org/doc/212290

ER -

## References

top- [Bill] Billingsley, P., Ergodic Theory and Information, Wiley, 1965. Zbl0141.16702
- [Pa] Parry, W., Generators and strong generators in ergodic theory, Bull. Amer. Math. Soc. 72 (1966), 294-296. Zbl0144.29802
- [Ro] Rokhlin, V., Generators in ergodic theory, II, Vestnik Leningrad. Univ. Mat. Mekh. Astronom. 1965, 68-72 (in Russian).
- [Se] Serafin, J., Finitary codes and isomorphisms, Ph.D. Thesis, Technische Universiteit Delft, 1996. Zbl1042.94533
- [Wa] Walters, P., An Introduction to Ergodic Theory, Springer, 1982.

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