The Collaborative International Dictionary of English v.0.48:
hyperspace \hy"per*space\ (h[imac]"p[~e]r*sp[=a]s), n. [Pref.
   hyper- + space.] (Geom.)
   A mathematical space having more than three dimensions. It is
   a mathematical construct and is not intended to represent the
   structure of the common physical space in which matter
   exists.
   [1913 Webster +PJC]
The Jargon File (version 4.4.7, 29 Dec 2003):
hyperspace
 /hi:'per?spays/, n.
    A memory location that is far away from where the program counter should be
    pointing, especially a place that is inaccessible because it is not even
    mapped in by the virtual-memory system. ?Another core dump ? looks like the
    program jumped off to hyperspace somehow.? (Compare jump off into
    never-never land.) This usage is from the SF notion of a spaceship jumping
    into hyperspace, that is, taking a shortcut through higher-dimensional
    space ? in other words, bypassing this universe. The variant east
    hyperspace is recorded among CMU and Bliss hackers.
The Free On-line Dictionary of Computing (30 December 2018):
hyperspace
   /hi:'per-spays/ A memory location that is *far* away from
   where the program counter should be pointing, often
   inaccessible because it is not even mapped in.  (Compare jump
   off into never-never land.)
   This usage is from the SF notion of a spaceship jumping "into
   hyperspace", that is, taking a shortcut through
   higher-dimensional space - in other words, bypassing this
   universe.  The variant "east hyperspace" is recorded among
   CMU and Bliss hackers.
   [Jargon File]
   (1994-11-23)