Suspension (dynamical systems)
Encyclopedia
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
.
be a metric space, be a continuous map and be a function (roof function or ceiling function) bounded away from 0. Consider the quotient spaceThe suspension of
with roof function is the semiflow induced by the time-translation .If
, then the quotient space is also called the mapping torusMapping torus
In mathematics, the mapping torus in topology of a homeomorphism f of some topological space X to itself is a particular geometric construction with f...
of
.