| 31. | Every metric space is Hausdorff and paracompact ( and hence normal and Tychonoff ).
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| 32. | Clearly, every isometry between metric spaces is a topological embedding.
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| 33. | Also note that any metric space is a uniform space.
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| 34. | Ostrand generalized the Kolmogorov superposition theorem to compact metric spaces.
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| 35. | An uncountable product of metric spaces need not be metrizable.
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| 36. | Let ( M, d ) be a separable metric space.
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| 37. | Not all metric spaces may be embedded in Euclidean space.
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| 38. | Also, note that any metric space is a uniform space.
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| 39. | Asymptotic cones are particular examples of ultralimits of metric spaces.
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| 40. | My question is, why is this restricted to metric spaces?
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