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2006/2007 Collections of Compact Sets and Functions Having Gδ-Graphs
Francis Jordan
Real Anal. Exchange 32(2): 287-302 (2006/2007).


We continue the investigation began in [1] of the connection between the structure of a function $f$ defined on a subset of a space $X$ and the Borel complexity of the set $C(f) =$ {$C \in J(X): f| C$ is continous where $J(X)$ denotes the nonempty compact subsets of $X$ with the Hausdorff metric. Two hierarchies of functions with $G_{\delta}$-graphs are defined. We conjecture that they coincide


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Francis Jordan. "Collections of Compact Sets and Functions Having Gδ-Graphs." Real Anal. Exchange 32 (2) 287 - 302, 2006/2007.


Published: 2006/2007
First available in Project Euclid: 3 January 2008

zbMATH: 1134.26001
MathSciNet: MR2369844

Primary: 03E15 , 26A15

Keywords: Borel complexity , Continuous function

Rights: Copyright © 2006 Michigan State University Press

Vol.32 • No. 2 • 2006/2007
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