We present a unified approach to the finite generator theorem of Krieger, the homomorphism theorem of Sinai and the isomorphism theorem of Ornstein. We show that in a suitable space of measures those measures which define isomorphisms or respectively homomorphisms form residual subsets.
@article{bwmeta1.element.bwnjournal-article-cmv84i2p307bwm,
author = {R. Burton and M. Keane and Jacek Serafin},
title = {Residuality of dynamical morphisms},
journal = {Colloquium Mathematicae},
volume = {84/85},
year = {2000},
pages = {307-317},
zbl = {0963.37007},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-cmv84i2p307bwm}
}
Burton, R.; Keane, M.; Serafin, Jacek. Residuality of dynamical morphisms. Colloquium Mathematicae, Tome 84/85 (2000) pp. 307-317. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv84i2p307bwm/
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