paracompactification

adjective

A construction yielding a paracompact space.

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Meanings

adjectiveparacompactification (plural paracompactifications)

plural paracompactifications

  1. mathematicsA 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

Origin

From paracompact + -ification.

Full word history & related roots →
Cite this entry
APA

paracompactification. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/paracompactification

MLA

“paracompactification.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/paracompactification. Accessed November 3, 2026.

Chicago

WatkinsX Dictionary, s.v. “paracompactification,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/paracompactification.

Source: paracompactification on Wiktionary, CC BY-SA 4.0.