Abstract
A theorem of J. M. Anderson and J. E. Jayne on the existence of uniformly closed linear subspaces of the space C 1 ( X ) {C^1}(X) of bounded Baire- 1 1 functions on the compact Hausdorff space X X having specified sequential stability index α > Ω \alpha > \Omega is here adapted and extended to yield similar theorems for certain spaces of Baire-affine functions defined on a compact Choquet simplex.
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