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relatively compact set

   Also found in: Wikipedia 0.01 sec.
relatively compact set [′rel·ə‚tiv·lē ¦käm‚pakt ‚set]


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A sense of history pervades the entire Seabrook campus, a relatively compact set of buildings surrounded by acres of farmland.
Because a well-known result states that in complete metric spaces, relatively compact sets coincide with pre-compact sets, it is sufficient to show that for any [epsilon] > 0, the set of values of the function can be embedded in a finite number of spheres of radius [epsilon].
 
 
 
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