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Centenary of the Borel conjecture / Marion Scheepers, Ondřej Zindulka, editors.
- Format:
- Book
- Author/Creator:
- Scheepers, Marion, 1957- editor.
- Series:
- Contemporary mathematics (American Mathematical Society) ; Volume 755.
- Contemporary mathematics ; Volume 755
- Language:
- English
- Subjects (All):
- Borel, Emile, 1871-1956.
- Borel, Emile.
- Numbers, Real.
- Topological groups.
- Set theory.
- Physical Description:
- 1 online resource (viii, 242 pages) : illustrations.
- Edition:
- 1st ed.
- Place of Publication:
- Providence, Rhode Island : American Mathematical Society, [2020]
- Language Note:
- English
- Summary:
- 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.
- Contents:
- Game theoretical aspects of the Borel conjecture / Leandro Aurichi and Rodrigo R. Dias
- Strong measure zero in Polish groups / Michael Hrušák and Ondřej Zindulka
- Ramsey theory and the Borel conjecture / Marion Scheepers
- On the algebraic union of strongly measure zero sets and their relatives with sets of real numbers / Tomasz Weiss
- The Borel conjecture, dual Borel conjecture, and other variants of the Borel conjecture / Wolfgang Wohofsky
- Selection principles in the Laver, Miller, and Sacks models / Lyubomyr Zdomskyy.
- Notes:
- Includes bibliographical references.
- Description based on print version record.
- Description based on publisher supplied metadata and other sources.
- ISBN:
- 1-4704-5638-9
- OCLC:
- 1194963026
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