How do I delete the connection between these 2 vectors?

Question

I am new to blender and I am trying to make a neon sign

I have this connection here that I am trying to delete

when I delete the vectors on the curve I get this

I am trying to have this as empty space but nothing I am doing is working to delete this connection

Edit:

I figured it out, I selected the 3 points and split it then I deleted the split points

which got me what I wanted

Answer 1

Select the controls that define the segments you want to delete, then x-> delete segments:

This works for curves with their own geometry. Note that some uses of curves, like a curve modifier, are only built around the existence of a single spline inside any given curve object; you may not get the results you expect.