The sequential stability index and certain spaces of affine functions
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Abstract:
A theorem of J. M. Anderson and J. E. Jayne on the existence of uniformly closed linear subspaces of the space ${C^1}(X)$ of bounded Baire-$1$ functions on the compact Hausdorff space $X$ having specified sequential stability index $\alpha < \Omega$ is here adapted and extended to yield similar theorems for certain spaces of Baire-affine functions defined on a compact Choquet simplex.References
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Additional Information
- © Copyright 1981 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 83 (1981), 36-38
- MSC: Primary 46A55; Secondary 26A21
- DOI: https://doi.org/10.1090/S0002-9939-1981-0619976-0
- MathSciNet review: 619976