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
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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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