Several equivalent conditions are given for the existence of real-valued Baire functions of all classes on a type of K -analytic spaces, called disjoint analytic spaces, and on all pseudocompact spaces. The sequential stability index for linear subspaces of continuous real-valued functions on a compact space is shown to be invariant under isomorphic embeddings in the space of continuous real-valued functions on any compact space. Alexandroff et P. JFM Anderson and J. Jayne , The sequential stability index of a function space , Mathematika, 20 ,
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We'd like to understand how you use our websites in order to improve them. Register your interest. This answers the question of Deville, Godefroy and Haydon under the set theoretic assumption stated above. This is a preview of subscription content, log in to check access. Rent this article via DeepDyve. Paris , — Baumgartner, A. Taylor and S. Google Scholar. Debs, Poinwise and uniform convergence on a Corson compact space , Topology and its Applications 23 , — Deville, Convergence ponctuelle et uniforme sur un espace compact , Bull.
Deville and G. Godefroy, Some applications of projectional resolutions of identity , to appear. Frankiewicz and K. Haydon, A counter example to several questions about scattered compact spaces , Bull. London Math. Haydon and C.
Rogers, A locally uniformly convex renorming for certain C K , Mathematika 37 , 1—8. Jayne, I. Namioka and C. Krom, Certain products of metric Baire spaces , Proc. Namioka, Separate continuity and joint continuity , Pacific J. Porter and R. Rogers and J. Jayne, K-analytic sets, in Analytic Sets Conf.
University College, University of London, , pp. Download references. Reprints and Permissions. Namioka, I. Israel J. Download citation. Received : 05 May Issue Date : February Search SpringerLink Search.
Immediate online access to all issues from Subscription will auto renew annually. References [B] A. Namioka Wydzial Matematyki U. Pol Authors I. Namioka View author publications. You can also search for this author in PubMed Google Scholar. View author publications. Rights and permissions Reprints and Permissions. About this article Cite this article Namioka, I.
Espace localement compact
Mappings of Baire spaces into function spaces and Kadeč renorming