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Recovering Baire one functions on ultrametric spaces
Author(s) -
Duncan Jonathan,
Solecki Sławomir
Publication year - 2009
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/bdp053
Subject(s) - ultrametric space , mathematics , baire category theorem , baire space , characterization (materials science) , baire measure , valuation (finance) , convergence (economics) , pure mathematics , metric space , economics , materials science , finance , economic growth , nanotechnology
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.