Softcover ISBN:  9781470450991 
Product Code:  CONM/755 
List Price:  $120.00 
MAA Member Price:  $108.00 
AMS Member Price:  $96.00 
eBook ISBN:  9781470456382 
Product Code:  CONM/755.E 
List Price:  $120.00 
MAA Member Price:  $108.00 
AMS Member Price:  $96.00 
Softcover ISBN:  9781470450991 
eBook: ISBN:  9781470456382 
Product Code:  CONM/755.B 
List Price:  $240.00 $180.00 
MAA Member Price:  $216.00 $162.00 
AMS Member Price:  $192.00 $144.00 
Softcover ISBN:  9781470450991 
Product Code:  CONM/755 
List Price:  $120.00 
MAA Member Price:  $108.00 
AMS Member Price:  $96.00 
eBook ISBN:  9781470456382 
Product Code:  CONM/755.E 
List Price:  $120.00 
MAA Member Price:  $108.00 
AMS Member Price:  $96.00 
Softcover ISBN:  9781470450991 
eBook ISBN:  9781470456382 
Product Code:  CONM/755.B 
List Price:  $240.00 $180.00 
MAA Member Price:  $216.00 $162.00 
AMS Member Price:  $192.00 $144.00 

Book DetailsContemporary MathematicsVolume: 755; 2020; 242 ppMSC: Primary 03; 22; 54; 91
Borel's Conjecture entered the mathematics arena in 1919 as an innocuous remark about sets of real numbers in the context of a new covering property introduced by Émile Borel. In the 100 years since, this conjecture has led to a remarkably rich adventure of discovery in mathematics, producing independent results and the discovery of countable support iterated forcing, developments in infinitary game theory, deep connections with infinitary Ramsey Theory, and significant impact on the study of topological groups and topological covering properties.
The papers in this volume present a broad introduction to the frontiers of research that has been spurred on by Borel's 1919 conjecture and identify fundamental unanswered research problems in the field. Philosophers of science and historians of mathematics can glean from this collection some of the typical trends in the discovery, innovation, and development of mathematical theories.
ReadershipGraduate students and research mathematicians interested in topology, set theory, and infinitary Ramsey theory.

Table of Contents

Articles

Leandro F. Aurichi and Rodrigo R. Dias — Gametheoretical aspects of the Borel conjecture

Michael Hrušák and Ondřej Zindulka — Strong measure zero in Polish groups

Marion Scheepers — Ramsey theory and the Borel conjecture

Tomasz Weiss — On the algebraic union of strongly measure zero sets and their relatives with sets of real numbers

Wolfgang Wohofsky — Borel Conjecture, dual Borel Conjecture, and other variants of the Borel Conjecture

Lyubomyr Zdomskyy — Selection principles in the Laver, Miller, and Sacks models


Additional Material

RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
 Book Details
 Table of Contents
 Additional Material
 Requests
Borel's Conjecture entered the mathematics arena in 1919 as an innocuous remark about sets of real numbers in the context of a new covering property introduced by Émile Borel. In the 100 years since, this conjecture has led to a remarkably rich adventure of discovery in mathematics, producing independent results and the discovery of countable support iterated forcing, developments in infinitary game theory, deep connections with infinitary Ramsey Theory, and significant impact on the study of topological groups and topological covering properties.
The papers in this volume present a broad introduction to the frontiers of research that has been spurred on by Borel's 1919 conjecture and identify fundamental unanswered research problems in the field. Philosophers of science and historians of mathematics can glean from this collection some of the typical trends in the discovery, innovation, and development of mathematical theories.
Graduate students and research mathematicians interested in topology, set theory, and infinitary Ramsey theory.

Articles

Leandro F. Aurichi and Rodrigo R. Dias — Gametheoretical aspects of the Borel conjecture

Michael Hrušák and Ondřej Zindulka — Strong measure zero in Polish groups

Marion Scheepers — Ramsey theory and the Borel conjecture

Tomasz Weiss — On the algebraic union of strongly measure zero sets and their relatives with sets of real numbers

Wolfgang Wohofsky — Borel Conjecture, dual Borel Conjecture, and other variants of the Borel Conjecture

Lyubomyr Zdomskyy — Selection principles in the Laver, Miller, and Sacks models