| 1. | Conversely, a uniform space is called "'complete "'if every Cauchy filter converges.
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| 2. | Conversely, on a uniform space every convergent filter is a Cauchy filter.
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| 3. | These uniform covers form a uniform space as in the second definition.
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| 4. | Weil also characterized uniform spaces in terms of a family of pseudometrics.
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| 5. | Nakamura and Edwards, grid control was accomplished using non uniform spacing.
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| 6. | Every uniform space has a fundamental system of entourages consisting of symmetric entourages.
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| 7. | More generally, every commutative topological group is also a uniform space.
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| 8. | Also, note that any metric space is a uniform space.
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| 9. | Also note that any metric space is a uniform space.
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| 10. | The latter is most generally done via a uniform structure, giving a uniform space.
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