1 citations · 1 across the 5 of their papers we have counts for
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How can we recover Baire class one functions?
Dominique Lecomte
Let X and Y be separable metrizable spaces, and f:X-->Y be a function. We want to recover f from its values on a small set via a simple algorithm. We show that this is possible if…
Hurewicz-like tests for Borel subsets of the plane
Dominique Lecomte
Let xi be a non-null countable ordinal. We study the Borel subsets of the plane that can be made $\bormxi$ by refining the Polish topology on the real line. These sets are called p…
Omega-powers and descriptive set theory
Dominique Lecomte
We study the sets of the infinite sentences constructible with a dictionary over a finite alphabet, from the viewpoint of descriptive set theory. Among other things, this gives som…
On minimal non-potentially closed subsets of the plane
Dominique Lecomte
We study the Borel subsets of the plane that can be made closed by refining the Polish topology on the real line. These sets are called potentially closed. We first compare Borel s…