Why not use the official terms?
![Cool 8-)](./images/smilies/icon_cool.gif)
- Host Memory (not really important when programming for the Epiphany, since it can't access it)
- Shared Memory or Shared DRAM (or External DRAM or DRAM, but these suggest different things to me)
- Local Memory or SRAM
They are used in the official documentation and in the linker scripts. ERAM then means "External RAM".