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About: Suspension (dynamical systems)     Goto   Sponge   NotDistinct   Permalink

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Suspension is a construction passing from a map to a flow. Namely, let be a metric space, be a continuous map and be a function (roof function or ceiling function) bounded away from 0. Consider the quotient space: The suspension of with roof function is the semiflow induced by the time translation . If , then the quotient space is also called the mapping torus of .