Name(s) for the top and bottom of an apple
The ends don't appear to have technical names, but the parts at each end do.
The stem is also called the pedicel or stalk.
The opposite end is where the stamen is located. In the second picture below, this end is also referred to as the style.
None of these terms are common outside of technical usage when discussing plant, flower, and fruit morphology. More common descriptors are stem end and tip.
By the way, some pictures will show the "calyx" (derived from "cup" or "chalice"), often at the tip end. But I believe the calyx is a depression at either end. Referring to a particular calyx requires a modifier (e.g., pedicel calyx).
John Bunker, who is one of the key people involved in apples for FEDCO, a well-known organic seed/tree company, seems to call the dip in the top the "cavity" and the dip in the bottom the "basin" in his book Not Far From the Tree. I don't know if it's official, but it works for me.
Incidentally, looking things up about apples online is very hard because of the computer brand!