Usually means: Making finite by adding points.
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We found 9 dictionaries that define the word compactification:

General (4 matching dictionaries)
  1. compactification: Merriam-Webster
  2. compactification: Collins English Dictionary
  3. compactification: Wiktionary
  4. Compactification (mathematics), Compactification (physics), Compactification: Wikipedia, the Free Encyclopedia

Computing (1 matching dictionary)
  1. Compactification (mathematics), compactification: Encyclopedia

Science (4 matching dictionaries)
  1. A Glossary of Mathematical Terms (No longer online)
  2. Compactification: Eric Weisstein's World of Mathematics
  3. Compactification: Extragalactic Astronomy
  4. compactification: PlanetMath Encyclopedia

Definitions from Wiktionary (compactification)

noun:  (topology) Any of various procedures of enlarging a topological space to make it compact.
noun:  (topology) The space resulting from any such procedure.
noun:  (physics) Any modification of a theory such that an infinite parameter becomes finite.
noun:  (physics) The reduction of the number of large spacetime dimensions of a physical theory by making some of them compact.

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