| 11. | These observations preclude the possibility of uniform convergence.
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| 12. | I . e . the topology of uniform convergence of derivatives of arbitrary order.
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| 13. | Uniform convergence deals with these sorts of issues.
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| 14. | Thus one may speak of uniform continuity, uniform convergence, and Cauchy sequences.
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| 15. | This type of convergence is also called " almost uniform convergence ".
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| 16. | This is the topology of uniform convergence.
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| 17. | For a continued fraction like this one the notion of uniform convergence arises quite naturally.
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| 18. | Glivenko and Cantelli strengthened this result by proving uniform convergence of F _ n to F.
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| 19. | The topology of uniform convergence on compact sets is in this case the topology of pointwise convergence.
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| 20. | I'd like to make sure I'm clear about uniform convergence of the integral.
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