Inverse Limits and Function Algebras

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dc.creatorHart, Joan E.
dc.creatorKunen, Kenneth
dc.date2005-04-11
dc.date.accessioned2026-07-07T05:18:59Z
dc.date.available2026-07-07T05:18:59Z
dc.descriptionAssuming Jensen's principle diamond, there is a compact Hausdorff space X which is hereditarily Lindelof, hereditarily separable, and connected, such that no closed subspace of X is both perfect and totally disconnected. The Proper Forcing Axiom implies that there is no such space. The diamond example also fails to satisfy the CSWP (the complex version of the Stone-Weierstrass Theorem). This space cannot contain the two earlier examples of failure of the CSWP, which were totally disconnected -- specifically, the Cantor set (W. Rudin) and beta N (Hoffman and Singer).
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/math/0504214
dc.identifierhttp://arxiv.org/abs/math/0504214
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74854
dc.subjectGeneral Topology
dc.subjectFunctional Analysis
dc.subject54D05; 46J10
dc.titleInverse Limits and Function Algebras
dc.typetext

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