Edge selection - cannot select I want to move a vertex, not duplicate. But I cannot select the vertex with its connected edges, only the vertex

Here is the file: 

Try moving the vertex and please find out why its doing this.
Pretty simple really. You have 2 vertices on the same spot. You may have accidentally duplicate the vertices while you were working on it. Good news is that it's really easy to solve.


While you are in Edit Mode. Hit W
Look for the option "Remove Double" in the drop down list.
Now try moving the vertex again.


You should have no problems!