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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 07:20, 13 September 2010 (moved Scale property to Scale (descriptive set theory): On reflection, have decided that the fundamental topic is scales themselves. Will write new article *around* this one.). 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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