Recovering Baire one functions on ultrametric spaces

Jonathan Duncan; Sławomir Solecki

doi:10.1112/blms/bdp053

Recovering Baire one functions on ultrametric spaces

Jonathan Duncan, Sławomir Solecki

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We find a characterization of those Polish ultrametric spaces on which each Baire one function is first return recoverable. The notion of pseudo-convergence originating in the theory of valuation fields plays a crucial role in the characterization.

Original language	English (US)
Pages (from-to)	747-756
Number of pages	10
Journal	Bulletin of the London Mathematical Society
Volume	41
Issue number	4
DOIs	https://doi.org/10.1112/blms/bdp053
State	Published - Aug 2009

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General Mathematics

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title = "Recovering Baire one functions on ultrametric spaces",

abstract = "We find a characterization of those Polish ultrametric spaces on which each Baire one function is first return recoverable. The notion of pseudo-convergence originating in the theory of valuation fields plays a crucial role in the characterization.",

author = "Jonathan Duncan and S{\l}awomir Solecki",

note = "Funding Information: Received 4 March 2008; revised 17 March 2009; published online 10 July 2009. 2000 Mathematics Subject Classification 26A21, 54E50. The research of Solecki was supported by NSF grant DMS-0700841.",

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Recovering Baire one functions on ultrametric spaces

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