compactification

English

Etymology

From compact +‎ -ification.

Noun

compactification (countable and uncountable, plural compactifications)

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

Derived terms

• beta-compactification
• decompactification
• Freund-Rubin compactification
• Stone-Čech compactification
• Wallman compactification

Translations

procedure of enlarging a topological space to make it compact

Danish: kompaktifikation c Polish: uzwarcenie n

topological space enlarged to become compact

Danish: kompaktifikation c Icelandic: þjöppun f Polish: uzwarcenie n

physics: modification of a theory so that an infinite parameter becomes finite

Further reading

• compactification on Wikipedia.Wikipedia