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Boise Extravaganza in Set Theory
March 25-26, 2007
Knotty Pines Kabins
Idaho City, ID, USA

Organizers
Liljana Babinkostova, Stefan Geschke, Justin Moore, and Marion Scheepers

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Open Problems on Degrees of Constructibility of Reals
by
Marcia Groszek
Dartmouth College

Define the degrees of constructibility, or c-degrees, of reals as follows: X is constructible in Y if X is in L[Y], and X and Y have the same c-degree if each is constructible in the other. The c-degrees under the induced ordering ïs constructible in" form an upper semi-lattice. This structure is trivial in some models of set theory, and extremely complex in others.

We discuss some long-standing open problems concerning the c-degrees of reals.

Date received: February 27, 2007

Copyright © 2007 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caty-08.