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New Directions in Descriptive Set Theory [PDF]

open access: yesBulletin of Symbolic Logic, 1999
§1. I will start with a quick definition of descriptive set theory: It is the study of the structure of definable sets and functions in separable completely metrizable spaces. Such spaces are usually calledPolish spaces. Typical examples are ℝn, ℂn, (separable) Hilbert space and more generally all separable Banach spaces, theCantor space2ℕ, theBaire ...
Kechris, Alexander S.
core   +8 more sources

Generalized Descriptive Set Theory and Classification Theory [PDF]

open access: yesMemoirs of the American Mathematical Society, 2010
Descriptive set theory is mainly concerned with studying subsets of the space of all countable binary sequences. In this paper we study the generalization where countable is replaced by uncountable. We explore properties of generalized Baire and Cantor spaces, equivalence relations and their Borel reducibility.
Friedman, Sy D.   +2 more
core   +9 more sources

The descriptive set-theoretic complexity of the set of points of continuity of a multi-valued function (Extended Abstract) [PDF]

open access: yesElectronic Proceedings in Theoretical Computer Science, 2010
In this article we treat a notion of continuity for a multi-valued function F and we compute the descriptive set-theoretic complexity of the set of all x for which F is continuous at x.
Vassilios Gregoriades
doaj   +4 more sources

The descriptive set-theoretic complexity of the set of points of continuity of a multi-valued function [PDF]

open access: yesLogical Methods in Computer Science, 2011
In this article we treat a notion of continuity for a multi-valued function $F$ and we compute the descriptive set-theoretic complexity of the set of all $x$ for which $F$ is continuous at $x$.
Vassilios Gregoriades
doaj   +3 more sources

Borel Chain Conditions of Borel Posets

open access: yesMathematics, 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
doaj   +1 more source

The Embodiment of Corporate Social Responsibility in Sharia Enterprise Theory

open access: yesJournal 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
doaj   +1 more source

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]

open access: yesمطالعات 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
doaj   +1 more source

Agency in Structure: An Inquiry into Gideon Toury’s Target-Oriented Perspective

open access: yestransLogos: 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
doaj   +1 more source

Real Analytic Machines and Degrees [PDF]

open access: yesLogical 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
doaj   +1 more source

Real Analytic Machines and Degrees [PDF]

open access: yesElectronic Proceedings in Theoretical Computer Science, 2010
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
doaj   +1 more source

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