| 1. | ;paracompact if every open cover has a locally finite open refinement.
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| 2. | Locally finite groups satisfy a weaker form of Sylow's theorems.
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| 3. | Conversely, every periodic abelian group is locally finite.
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| 4. | Wu also extended the classification of Suzuki et al . to locally finite groups.
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| 5. | A topological space in which every open cover admits a locally finite open metacompact.
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| 6. | Now replace \ mathcal { V } \, by a locally finite open refinement.
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| 7. | The class of locally finite groups behaves somewhat similarly to the class of finite groups.
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| 8. | These in turn include locally finite spaces, which include finite spaces and discrete spaces.
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| 9. | If " X " is compact, then every locally finite chain is in fact finite.
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| 10. | More generally, the intensity measures is a realization of a non-negative locally finite random measure.
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