Is there a Batcave under Arkham Asylum in any version of the comic?

Question

In the videogame Arkham Asylum, the Joker get captured by Batman and sent into Arkham Asylum. But this is all a trap, as the Joker planned to take over Arkham Asylum and use its infamous inmates to fight Batman.

At some point, Batman needs supplies and decides to enter an annex of the Batcave that was built in case someone went wrong in Arkham (crazily prepared vigilante!).

Of course, this is really convenient in the setting of the game, since it allows the appearance of the Batcave without having Batman leave Arkham's island.

But, as someone who mostly knows about Batman through the movies and the animated series, this really surprised me.

Does Batman have a Batcave under Arkham Asylum in some version of comics?

Answer 1

What is commonly identified with the term Batcave is the cave below Wayne Manor, but in reality Batcave is the name of a complex of different caves/areas placed all around (well, below, actually) Gotham City. The one below Arkham Asylum is just one if many of those areas, it's called "Northwest Batcave" and first appearance I can remember of it is in No Man's Land.