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New Directions in Descriptive Set Theory [PDF]
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 called Polish spaces.
Kechris, Alexander S.
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Omitting types: application to descriptive set theory [PDF]
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
Richard Mansfield
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Topology and descriptive set theory
This paper consists essentially of the text of a series of four lectures given by the author in the Summer Conference on General Topology and Applications, Amsterdam, August 1994.Instead of attempting to give a general survey of the interrelationships ...
Kechris, Alexander S.
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Invariant Descriptive Set Theory
Bringing together techniques from various areas of mathematics, this book presents an introduction to the basic concepts, methods, and results of invariant descriptive set theory. It reviews descriptive set theory; studies Polish groups and their actions;
Su Gao, Gao, Su
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Explanation in Descriptive Set Theory [PDF]
In this paper we investigate explanatory proofs in mathematics. We do this via an extended case study from descriptive set theory. The aim is to shed light on what makes explanatory proofs explanatory. Building on earlier work, we argue that there may be
Colyvan, Mark, Antos, Carolin
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THE USE OF COMPLEXITY HIERARCHIES IN DESCRIPTIVE SET THEORY AND AUTOMATA THEORY
The concept of a reduction between subsets of a given space is described, giving rise to various complexity hierarchies, studied both in descriptive set theory and in automata theory.
ALESSANDRO ANDRETTA, RICCARDO CAMERLO
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Borel Chain Conditions of Borel Posets
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
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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Descriptive set Theory of Families of Small Sets [PDF]
AbstractThis is a survey paper on the descriptive set theory of hereditary families of closed sets in Polish spaces. Most of the paper is devoted to ideals and σ-ideals of closed or compact sets.
Étienne Matheron, Miroslav Zelený
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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]
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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