Results 11 to 20 of about 1,252,529 (191)
Descriptive set theory and harmonic analysis [PDF]
Journal of Symbolic Logic, 1992 During the 1989 European ASL Summer Meeting in Berlin, the authors gave a series of eight lectures (short course) on the topic of the title. This survey article consists basically of the lecture notes for that course distributed to the participants of that conference. We have purposely tried in this printed version to preserve the informal style of the
Kechris, A. S., Louveau, A.
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Omitting types: application to descriptive set theory [PDF]
Proceedings of the American Mathematical Society, 1975 The omitting types theorem of infinitary logic is used to prove that every small Π 1 1 \Pi _1^1 set of analysis or any small Σ 1 {\Sigma _1} set of set theory is constructible.
Richard Mansfield
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Mathematical Economics and Descriptive Set Theory
Journal of Mathematical Analysis and Applications, 2001 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nikolaos E. Sofronidis
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On the descriptive theory of sets [PDF]
Czechoslovak Mathematical Journal, 1963 Zdeněk Frolík
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Omega-powers and descriptive set theory
, 2005 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 some true co-analytic sets. The case where the dictionary is finite is studied and gives a natural example of a set at the level omega of the Wadge hierarchy.
Dominique Lecomte
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Topics in invariant descriptive set theory
Annals of Pure and Applied Logic, 2001 The author generalizes two concepts from special cases of Polish group actions on Polish spaces: the logic actions by the group~\(S_\infty\) (the group of permutations of~\(\mathbb N\)) on the set of codes for countable infinite \(L\)-structures where \(L\)~is a~countable relational language and the analytic sets (which are invariant with respect to ...
Howard Becker
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The descriptive set theory of the Lebesgue Density Theorem
Advances in Mathematics, 2013 Given an equivalence class $[A]$ in the measure algebra of the Cantor space, let $\hat ([A])$ be the set of points having density 1 in $A$. Sets of the form $\hat ([A])$ are called $\mathcal{T}$-regular. We establish several results about $\mathcal{T}$-regular sets. Among these, we show that $\mathcal{T}$-regular sets can have any complexity within $
ANDRETTA, Alessandro, Camerlo R.
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, 2021 The paper is a naive introduction to descriptive set theory. It is aimed mathematicians without a background in logic. The goal is to provide the basic facts used for applications of descriptive set theory to other areas of mathematics, particularly analysis and dynamical systems.
Matthew Foreman
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The Descriptive Set Theory of C*-algebra Invariants [PDF]
International Mathematics Research Notices, 2012 Appendix with Caleb ...
Farah, Ilijas +2 more
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Some descriptive set theory and core models
Annals of Pure and Applied Logic, 1988 We show how the assumption of a \({\underset \tilde{} \Sigma}^ 1_ 3\)-absolute core model can be used to lift directly results about \({\underset \tilde{} \Delta}^ 1_ 2\) and \({\underset \tilde{} \Sigma}^ 1_ 2\) sets of reals to the third level of the projective hierarchy.
Philip Welch
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