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MathematicsThe following two consequences of the axiom of constructibility V=L will be established for every n≥3: 1. Every linear Σn1 set is the projection of a uniform planar Πn−11 set. 2.
Vladimir Kanovei, Vassily Lyubetsky
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Hierarchies of Effective Descriptive Set Theory [PDF]
Transactions of the American Mathematical Society, 1969 1. Introduction and summary. The theory of hierarchies deals with the classification of objects according to some measure of their complexity. Such classifications have been fruitful in several areas of mathematics: analysis (descriptive set theory), recursion theory, and the theory of models.
Peter G. Hinman
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Ideal topologies in higher descriptive set theory [PDF]
Annals of Pure and Applied Logic, 2022 We investigate generalizations of the topology of the higher Cantor space on $2^ $, based on arbitrary ideals rather than the bounded ideal on $ $. Our main focus is on the topology induced by the nonstationary ideal, and we call this topology the nonstationary topology, or also the Edinburgh topology on $2^ $. It may be of independent interest that
Holy, Peter +3 more
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Contributions to Descriptive Set Theory [PDF]
, 2015 In 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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Book Review: Descriptive set theory [PDF]
Bulletin of the American Mathematical Society, 1981 Thomas Jech
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Borel Chain Conditions of Borel Posets
Mathematics, 2023 We study the coarse classification of partial orderings using chain conditions in the context of descriptive combinatorics. We show that (unlike the Borel counterpart of many other combinatorial notions), we have a strict hierarchy of different chain ...
Ming Xiao
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The Embodiment of Corporate Social Responsibility in Sharia Enterprise Theory
Journal of Islamic Economic Laws, 2023 The issue of disclosure of social responsibility by entities is a theme that has always been debated. This is none other than because the implementation of social responsibility disclosures carried out by companies to date still shows a real impact.
Naili Saadah +2 more
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Agency in Structure: An Inquiry into Gideon Toury’s Target-Oriented Perspective
transLogos: Translation Studies Journal, 2022 The present paper aims to present a rereading of Gideon Toury’s formulation of the target-oriented theory in his seminal work Descriptive Translation Studies — and Beyond in the hope of making a contribution to the discussion on Toury’s emphasis on ...
Kerem GEÇMEN
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The Differences in the Lexical Structure of Children’s Authored and Translated Books Based on the Principles of Natural Morphology: A Case Study of Persian Linguistic Database (PLDB) [PDF]
مطالعات زبانها و گویشهای غرب ایران, 2023 All over the world, translated books make up a significant part of children’s literature. Therefore, studying the linguistic structure and features of these books, and also the factors based on which children, their parents, and Children’s Books Council ...
Sara Rezghi +3 more
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Real Analytic Machines and Degrees [PDF]
Logical Methods in Computer Science, 2011 We study and compare in two degree-theoretic ways (iterated Halting oracles analogous to Kleene's arithmetical hierarchy and the Borel hierarchy of descriptive set theory) the capabilities and limitations of three models of analytic computation: BSS ...
Tobias Gärtner, Martin Ziegler
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