Proceedings of the American Mathematical Society

Author(s): Sol Schwartzman
Journal: Proc. Amer. Math. Soc. 125 (1997), 2493-2500.
MSC (1991): Primary 58F25
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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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Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 58F25

Sol Schwartzman
Affiliation: Department of Mathematics, University of Rhode Island, Kingston, Rhode Island 02881-0806

DOI: 10.1090/S0002-9939-97-04032-X
PII: S 0002-9939(97)04032-X
Received by editor(s): February 26, 1996
Communicated by: Linda Keen
Copyright of article: Copyright 1997, American Mathematical Society

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