Abstract
In this chapter we present several basic notions and results regarding suspension flows, as a preparation for many developments in later chapters. We note that any smooth flow with a hyperbolic set gives rise to a suspension flow (see Chap. 3). In particular, we present the notions of cohomology and of Bowen–Walters distance. It happens that one can often describe the properties of a suspension flow in terms of corresponding properties in the base. This relation is considered in this chapter for the notion of cohomology. Several other relations of a similar type will be considered later in the book.
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R. Bowen and P. Walters, Expansive one-parameter flows, J. Differ. Equ. 12 (1972), 180–193.
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Barreira, L. (2013). Suspension Flows. In: Dimension Theory of Hyperbolic Flows. Springer Monographs in Mathematics. Springer, Heidelberg. https://doi.org/10.1007/978-3-319-00548-5_2
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DOI: https://doi.org/10.1007/978-3-319-00548-5_2
Publisher Name: Springer, Heidelberg
Print ISBN: 978-3-319-00547-8
Online ISBN: 978-3-319-00548-5
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