Word.ws English Dictionary

paracompactification

paracompactification adjective: a construction yielding a paracompact space.

Adjective

paracompactification (plural paracompactifications)

  1. A construction yielding a paracompact space.
    • In 1957, Mrowka showed that a locally paracompact space admits a one point paracompactification. Similarly, Isiwata obtained a one point realcompactification for locally realcompact spaces.2018 November 20, John Mack, Marlon Rayburn, Grant Woods, “Local Topological Properties and One Point Extensions”, in Canadian Journal of Mathematics, →DOI

Forms of paracompactification

pluralparacompactifications

Origin of paracompactification

From paracompact + -ification.

Questions about paracompactification

What does paracompactification mean?
Paracompactification means a construction yielding a paracompact space.
What part of speech is paracompactification?
Paracompactification is an adjective.

Words near paracompactification in the dictionary

  1. paracolonic
  2. paracolons
  3. paracolpitis
  4. paracommissural
  5. paracompact
  6. paracompactification
  7. paracompactifications
  8. paracompactifying
  9. paracompactness
  10. paracomplete
  11. paracompleteness

Source and license

Adapted from Wiktionary: paracompactification (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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Cite this entry: “paracompactification.” Word.ws, https://word.ws/paracompactification. Based on Wiktionary, CC BY-SA 4.0.