Definitions

from Wiktionary, Creative Commons Attribution/Share-Alike License.

  • adjective mathematics, of a topological space In which every open cover admits an open locally finite refinement.

Etymologies

from Wiktionary, Creative Commons Attribution/Share-Alike License

para- +‎ compact

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Examples

  • One way to make this definition precise is through the technology of fine sheaves. says today, "[f] ine sheaves are usually only used over paracompact Hausdorff spaces".

    Secret Blogging Seminar 2010

  • Of course, may not be local, but it turns out that we can still prove Theorem 1 in this setting: A fine sheaf on a paracompact space has no cohomology.

    Secret Blogging Seminar 2010

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