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Scale (descriptive set theory)

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This is an old revision of this page, as edited by Trovatore (talk | contribs) at 09:50, 8 January 2010 (OK, that wasn't quite right, actually. This statement is pretty vague but I'll have to think about what we should really say, as situation's a bit complex). The present address (URL) is a permanent link to this revision, which may differ significantly from the current revision.

In the mathematical field of descriptive set theory, the scale property is a property of certain pointclasses (collections of sets of real numbers, or more generally of elements of other Polish spaces). The scale property is a strengthening of the prewellordering property. For pointclasses of a certain form, it implies that relations in the given pointclass have a uniformization that is also in the pointclass.

Further reading

  • Moschovakis, Yiannis N. (1980). Descriptive Set Theory. North Holland. ISBN 0-444-70199-0.
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