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UNPREPARED INDESTRUCTIBILITY (Aspects of Descriptive Set Theory)
, 2012 Andrew D. Brooke-Taylor
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NOTES ON MIYAMOTO'S FORCING AXIOMS (Aspects of Descriptive Set Theory)
, 2012 Toshimichi Usuba
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Descriptive set theory of complete quasi-metric spaces (Aspects of Descriptive Set Theory)
Descriptive set theory of complete quasi-metric spaces (Aspects of Descriptive Set Theory)openaire
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1997
Descriptive set theory deals with sets of reals that are described in some simple way: sets that have a simple topological structure (e.g., continuous images of closed sets) or are definable in a simple way. The main theme is that questions that are difficult to answer if asked for arbitrary sets of reals, become much easier when asked for sets that ...
T. Jech
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Descriptive set theory deals with sets of reals that are described in some simple way: sets that have a simple topological structure (e.g., continuous images of closed sets) or are definable in a simple way. The main theme is that questions that are difficult to answer if asked for arbitrary sets of reals, become much easier when asked for sets that ...
T. Jech
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2011
In 1905 Henri Lebesgue [1905] published a large paper Sur les fonctions representables analytiquement, which strongly influenced the next investigations in a domain of mathematics that we call today the descriptive set theory. The paper was mainly devoted to the study of the Baire Hierarchy of real functions. Moreover, a proof of one theorem was wrong (
L. Bukovský
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In 1905 Henri Lebesgue [1905] published a large paper Sur les fonctions representables analytiquement, which strongly influenced the next investigations in a domain of mathematics that we call today the descriptive set theory. The paper was mainly devoted to the study of the Baire Hierarchy of real functions. Moreover, a proof of one theorem was wrong (
L. Bukovský
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Descriptive set theory over hyperfinite sets
The Journal of Symbolic Logic, 1989AbstractThe separation, uniformization, and other properties of the Borel and projective hierarchies over hyperfinite sets are investigated and compared to the corresponding properties in classical descriptive set theory. The techniques used in this investigation also provide some results about countably determined sets and functions, as well as an ...
H. Jerome Keisler +3 more
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Contributions to Descriptive Set Theory
2015In this dissertation we study closure properties of pointclasses, scales on sets of reals and the models L[T2n], which are very natural canonical inner models of ZFC. We first characterize projective-like hierarchies by their associated ordinals. This solves a conjecture of Steel and a conjecture of Kechris, Solovay, and Steel.
Rachid Atmai
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