Is the set of bounded signals considered in topology and C^1 functions compact?

[symv]

I am considering the set of all bounded signals given by

$$X = \left\{ x:\ |x(t)| \leq X_{\max}, \forall t \right\}.$$

Is this set compact? Can anyone help me?

Thank you guys

 

[Reb]

I am considering the set of all bounded signals given by

$$X = \left\{ x:\ |x(t)| \leq X_{\max}, \forall t \right\}.$$

Is this set compact? Can anyone help me?

Thank you guys

No, bounded alone does not imply compact
(in the topology of uniform convergence).

 

[g_edgar]

in what topology, in what space of functions ?

 

[Reb]

in what topology, in what space of functions ?

He said signals, so I guess it's something like periodic functions
that are a.e. C^1.