Centenary of the Borel Conjecture
Seiten
2021
American Mathematical Society (Verlag)
978-1-4704-5099-1 (ISBN)
American Mathematical Society (Verlag)
978-1-4704-5099-1 (ISBN)
Presents a broad introduction to the frontiers of research that has been spurred on by Borel's 1919 conjecture and identifies fundamental unanswered research problems in the field. Philosophers of science and historians of mathematics can glean some of the typical trends in the discovery, innovation, and development of mathematical theories.
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.
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.
Marion Scheepers, Boise State University, OH. Ondrej Zindulka, Czech Technical University, Prague, Czech Republic
| Erscheinungsdatum | 21.08.2020 |
|---|---|
| Reihe/Serie | Contemporary Mathematics |
| Verlagsort | Providence |
| Sprache | englisch |
| Gewicht | 460 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika |
| Mathematik / Informatik ► Mathematik ► Geometrie / Topologie | |
| Mathematik / Informatik ► Mathematik ► Logik / Mengenlehre | |
| ISBN-10 | 1-4704-5099-2 / 1470450992 |
| ISBN-13 | 978-1-4704-5099-1 / 9781470450991 |
| Zustand | Neuware |
| Haben Sie eine Frage zum Produkt? |
Mehr entdecken
aus dem Bereich
aus dem Bereich
