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Transitive Flows on Two-Dimensional Manifolds

Russell A. SmithDepartment of Mathematical Sciences, University of Durham, Science Laboratories, South Road, Durham DH1 3LEE. S. ThomasDepartment of Mathematics and Statistics, State University of New York at Albany, Albany, New York 12222, USA
1988en
ABI

Abstract

A flow O = {<frt\\teU} on a space M is strongly transitive provided that there is a dense Gs set G in M such that for each p in G the trajectory of p, T(p) = {0,(/>)|f e R} is dense in both time directions in M. In this case, we shall say that the space M is admissible. Thus, for example, the torus is admissible because the irrational flow [8]

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Cited by 10 references