Making anchor points visible all the time
Now I am working on compound paths and I need to remove all the redundant anchor points: so I press - and click some of them, but other ones are constantly disappearing, so I should click on V and click the path and - again, which is very disturbing.
Is there any way to make ALL the anchor points visible ALL the times? I don't speak about Cmd+H of course.
The goal of the question was to perform anchor points manipulations without loosing selection of different parts of compound objects or different objects. This type of selection is impossible.
However, I found very handy solution:
After selecting the Instrument (let's say Remove Anchor Point) we can easily temporary switch to Selection tool pressing Command/Control button and selecting the desired object, then leaving the button returning the selecting Instrument. That worked for me.
Compound paths are different. Since you can only delete a single point on one path at a time with the Delete Anchor Tool, you have to work on one path at a time. You can't work on one path and keep other paths selected/highlighted.
If you want to delete anchors on multiple paths, simply select the anchors with the Direct Selection Tool (the white arrow). You can Shift+CLICK to select anchors anywhere, even on multiple paths, and then click the Delete Anchor button on the control panel: