I ran into a situation with my latest model where I was not able to select the top border edges all the way around the edge loop for some reason.  It's not because the vertices aren't welded, they are.  It was a cylinder modified by modifiers to change the edge direction.  A technique I learned to do while following a tutorial intended for another application.  Normally, holding ALT+RMB would select the entire edge loop around.  But now, after changing the direction like this, it doesn't.  It only selects two of the edges in the open edge at a time.  Not a big deal, since there isn't that many edges, but I've seen in other software that there's ways to select these border edges all at once, regardless of the edge direction, and I'm wondering what I could do in Blender to make that happen?  If I had a lot of edges here, this would be very time consuming.

Again, I tried all the standard ways, like ALT, SHIFT+ALT, etc.  Nothing works now.  I looked in the manual for selecting "open" edges, or borders, but there doesn't seem to be anything documented on how to do it.  Probably because it's not a common situation to occur.