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CANONIZING RELATIONS ON NONSMOOTH SETS.

We show that any symmetric, Baire measurable function from the complement of E to a finite set is constant on an E-nonsmooth square. A simultaneous generalization of Galvin's theorem that Baire measurable colorings admit perfect homogeneous sets and the Kanovei-Zapletal theorem canonizing Borel equi...

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Published in:Journal of Symbolic Logic Vol. 78; no. 1; pp. 101 - 113
Main Author: CONLEY, CLINTON T.
Format: Article
Published: Cambridge University Press Mar2013
Subjects:
Nonsmooth optimization
Baire classes
Finite difference method
Mathematics theorems
Homogeneous spaces
Equivalence classes (Set theory)
Online Access:View this record in EBSCOhost