Embedding lattice actions in flows with multidimensional time
Sbornik. Mathematics, Tome 197 (2006) no. 1, pp. 95-126
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The genericity of the embeddability of lattice actions in flows with multidimensional time is studied. In particular, questions of de la Rue and de Sam Lazaro on the genericity of the embeddability of an action of a 2-lattice in a flow and the embeddability of a transformation
in injective flow actions with multidimensional time are answered. It is also shown that a generic transformation has a set of roots of continuum cardinality in an arbitrary prescribed massive set.
Bibliography: 15 titles.
@article{SM_2006_197_1_a5,
author = {S. V. Tikhonov},
title = {Embedding lattice actions in flows with multidimensional time},
journal = {Sbornik. Mathematics},
pages = {95--126},
publisher = {mathdoc},
volume = {197},
number = {1},
year = {2006},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_2006_197_1_a5/}
}
S. V. Tikhonov. Embedding lattice actions in flows with multidimensional time. Sbornik. Mathematics, Tome 197 (2006) no. 1, pp. 95-126. http://geodesic.mathdoc.fr/item/SM_2006_197_1_a5/