The Space Jump is a maneuver that can be done by Player 2 in The Subspace Emissary. When used, Player 2's character is quickly relocated to wherever Player 1 currently is, regardless of any obstacles in the way.
A Space Jump is used when:
Additionally, the Pokémon Trainer will perform a similar move in the background to keep up with his Pokémon as they progress through a stage. However, the light that relocates him is reddish-orange, unlike the blue-white light for the playable characters themselves. (This is presumably also done in versus mode, but it's never seen on-screen.)
If a Space Jump is in progress while Player 1 is not on-screen after being KO'd, the teleporting player will be held in place until Player 1 respawns.
This move is an almost identical copy of a move in Kirby Super Star, where Kirby's partner could warp to Kirby's location. However, if the partner held the A button down, it would be locked in teleport indefinitely, and if the button was tapped repeatedly, the helper would eventually self-destruct. In the game's post-Brawl remake Kirby Super Star Ultra, this teleport function is even referred to as the Space Jump.