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New Directions in Descriptive Set Theory [PDF]

open access: yesBulletin of Symbolic Logic, 1999
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.
core   +4 more sources

Omitting types: application to descriptive set theory [PDF]

open access: yesProceedings 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
Richard Mansfield
core   +3 more sources

Topology and descriptive set theory

open access: yesTopology and its Applications, 1994
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.
core   +4 more sources

Invariant Descriptive Set Theory

open access: yes, 2008
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
core   +2 more sources

Explanation in Descriptive Set Theory [PDF]

open access: yes
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
core   +3 more sources

THE USE OF COMPLEXITY HIERARCHIES IN DESCRIPTIVE SET THEORY AND AUTOMATA THEORY

open access: yesTASK Quarterly, 2005
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
doaj   +1 more source

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

Descriptive set Theory of Families of Small Sets [PDF]

open access: yesBulletin of Symbolic Logic, 2007
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
openaire   +3 more sources

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

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