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Dictionary

Words, grammatical forms and meanings linked to the ontology.

paracompactification en · ADJ

Etymology

From paracompact + -ification.

Meanings

  1. (of a topological space) 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

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paracompactifications Number=Plur lexicographic