Might mean (unverified): Space's closure is compact set.
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We found 2 dictionaries that define the word precompact:

General (1 matching dictionary)
  1. precompact: Wiktionary

Science (1 matching dictionary)
  1. precompact: PlanetMath Encyclopedia

Definitions from Wiktionary (precompact)

verb:  To compact partially in preparation for full compaction or extrusion.
adjective:  (topology) Forming a relatively compact subspace; Having a closure that is compact.
adjective:  (topology) Totally bounded; Having a cover that consists of finitely many finite subsets.

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