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from Wiktionary, Creative Commons Attribution/Share-Alike License

  • adj. In which every open cover admits an open locally finite refinement.


para- +‎ compact (Wiktionary)


  • 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".

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  • 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.

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