BOOKS - SCIENCE AND STUDY - Structure and Randomness in Computability and Set Theory
Structure and Randomness in Computability and Set Theory - Edited by Douglas Cenzer, Christopher Porter, Jindrich Zapletal 2021 PDF World Scientific Publishing BOOKS SCIENCE AND STUDY
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Structure and Randomness in Computability and Set Theory
Author: Edited by Douglas Cenzer, Christopher Porter, Jindrich Zapletal
Year: 2021
Format: PDF
File size: 14.18 MB
Language: ENG

This volume presents some exciting new developments occurring on the interface between set theory and computability as well as their applications in algebra, analysis and topology. These include effective versions of Borel equivalence, Borel reducibility and Borel determinacy. It also covers algorithmic randomness and dimension, Ramsey sets and Ramsey spaces. Many of these topics are being discussed in the NSF-supported annual Southeastern Logic Symposium.
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En este volumen se presentan algunas novedades interesantes que tienen lugar en la unión de la teoría de conjuntos y la computabilidad, así como sus aplicaciones en álgebra, análisis y topología. Estas incluyen versiones efectivas de la equivalencia boreliana, la restaurabilidad boreliana y la determinación boreliana. También abarca la aleatoriedad algorítmica y la dimensión, los conjuntos Ramsay y el espacio Ramsay. Muchos de estos temas son discutidos en el simposio anual de Southeastern Logic con el apoyo de NSF.
Ce volume présente quelques nouveaux développements intéressants qui se produisent à la jonction de la théorie des ensembles et de la déduction, ainsi que leurs applications en algèbre, en analyse et en topologie. Il s'agit notamment de versions efficaces de l'équivalence borélienne, de la reconstitution borélique et de la détermination borélique. Il couvre également le hasard algorithmique et la dimension, la pluralité de Ramsay et l'espace de Ramsay. Bon nombre de ces thèmes sont abordés lors du symposium annuel Southeastern Logic, avec le soutien du FNS.
В этом томе представлены некоторые интересные новые разработки, происходящие на стыке теории множеств и вычислимости, а также их применения в алгебре, анализе и топологии. К ним относятся эффективные версии борелевской эквивалентности, борелевской восстановимости и борелевской детерминации. Он также охватывает алгоритмическую случайность и размерность, множества Рамсея и пространства Рамсея. Многие из этих тем обсуждаются на ежегодном симпозиуме Southeastern Logic при поддержке NSF.
This volume presents some exciting new developments occurring on the interface between set theory and computability as well as their applications in algebra, analysis and topology. These include effective versions of Borel equivalence, Borel reducibility and Borel determinacy. It also covers algorithmic randomness and dimension, Ramsey sets and Ramsey spaces. Many of these topics are being discussed in the NSF-supported annual Southeastern Logic Symposium.
Questo volume presenta alcuni interessanti nuovi sviluppi che si svolgono sulla combinazione di teorie di molteplicità e calcolo, nonché le loro applicazioni in algebra, analisi e topologia. Queste includono versioni efficaci dell'equivalenza borelesca, della restaurabilità borelesca e della determinazione borelese. Copre anche la casualità algoritmica e la dimensione, la moltitudine di Ramsay e lo spazio di Ramsay. Molti di questi temi sono stati affrontati durante il simposio annuale Southeastern Logic con il supporto dell'NSF.
Este volume apresenta alguns novos desenvolvimentos interessantes que acontecem na junção da teoria da multiplicidade e computação, bem como suas aplicações na álgebra, análise e topologia. Elas incluem versões eficazes da equivalência boreliana, da restaurabilidade boreal e da determinação do Borelev. Ele também abrange o acidente e a dimensão algoritmicas, os muitos Ramsay e o espaço de Ramsay. Muitos desses temas são discutidos no simpósio anual Southeastern Logic, apoiado pela NSF.
In diesem Band werden einige interessante Neuentwicklungen an der Schnittstelle von Mengenlehre und Berechenbarkeit sowie deren Anwendungen in Algebra, Analyse und Topologie vorgestellt. Dazu gehören effektive Versionen der Borel-Äquivalenz, der Borel-Wiederherstellbarkeit und der Borel-Determination. Es umfasst auch algorithmische Zufälligkeit und Dimension, die Ramsay-Menge und den Ramsay-Raum. Viele dieser Themen werden auf dem jährlichen Symposium von Southeastern Logic mit Unterstützung der NSF diskutiert.

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