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Thanks for noticing that "rational number" has the same problem--it's fixed now. The singular form is preferred for simple nouns like this to make linking easier. For example, ''"...probability can be expressed as a [[:real number|real number]] in the interval [0,1]..."'' --[[:Lee Daniel Crocker|LDC]]
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:When applied to the rational numbers, it gives the following
:useful [construction of the real numbers]?:
It should point out that this only works with a Euclidean metric or one equivalent to a Euclidean metric; using other metrics gives you the [[:p-adic numbers|p-adic numbers]] instead.
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The following comment was moved from the main page:
''RB: The dimension is actually difficult to define: the reals have dimension 1 for pretty much any sensible definition, but the best definition I know is that cohomology with compact support is non trivial in dimension 1 and vanishes above it.''
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