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Showing 1 to 7 of 7 for “"descriptive set theory"”.
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Complexity hierarchies in generalized descriptive set theory
Within the framework of generalized descriptive set theory, we conduct a systematic analysis of several hierarchies of classes of sets and functions. At the level of sets, we study the Borel hierarchy, the difference hierarchy, and the Wadge hierarchy; at the level of functions, we examine the …
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Pointwise ergodic theorems via descriptive set theory
Submission published under a 24 month embargo labeled 'U of I Access', the embargo will last until 2024-05-01
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Coloring problems in combinatorics and descriptive set theory
… finite context and in the framework of descriptive set theory, with applications to topological dynamics and ergodic theory. This work consists of two parts, each of which is in turn split into a number of chapters. Although the individual chapters are largely independent from each other …
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Borel Determinacy and Metamathematics
… in 1975, Borel determinacy is a theorem of ZFC set theory, and is, in fact, the best determinacy result in ZFC. However, the proof uses sets of high set theoretic type (N1 many power sets of ω). Friedman proved in 1971 that these sets are necessary by showing that the Axiom of Replacement is …
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Operator Algebras and Abstract Classification
… using methods from logic, particularly descriptive set theory and model theory. The material is divided into three main themes. The first one concerns the notion of Polish groupoids and functorial complexity. Such a study is motivated by the fact that the categories of …
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Some results in set theory
L'abstract è presente nell'allegato / the abstract is in the attachment