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Poincaré flows
Authors:Sol Schwartzman
Institution:Department of Mathematics, University of Rhode Island, Kingston, Rhode Island 02881-0806
Abstract:We study flows on a compact metric space $X$ with the property that corresponding to every non-zero element $\gamma $ of $H^1(X,Z)$ there is either a cross section associated with $\gamma $ or one associated with $-\gamma $. We obtain necessary and sufficient conditions for this to hold; on the $(k+1)$-dimensional torus these conditions take a classical form.

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