If it is laminate, replacement is the standard way. You can use a heat gun and acetone to peel up the old laminate.
Use a putty knife to get under to edge. Be careful with the acetone, so as not to weaken the glue on the edge banding. Scrape off a much old glue as possible. Heat and acetone will lose the contact cement used to glue the laminate top down.
Cut the new laminate oversize by about 1/2".
Once you have a good even surface, coat evenly with contact cement on both surfaces and let dry until tacky. When you touch it and the surface is still sticky, but doesn't come off on your finger.
Position the laminate with several thin sticks too keep the two surfaces apart until you've lined up the laminate sheet with the table top. Then, remove each stick carefully to not lose your alignment.
A rubber mallet will seal the two surfaces together.
Route the Iverson off and use a file to finish the edge.
-Will