Appalachian Set Theory
Title | Appalachian Set Theory PDF eBook |
Author | James Cummings |
Publisher | Cambridge University Press |
Pages | 433 |
Release | 2012-11-15 |
Genre | Mathematics |
ISBN | 1107608503 |
Papers based on a series of workshops where prominent researchers present exciting developments in set theory to a broad audience.
Appalachian Set Theory
Title | Appalachian Set Theory PDF eBook |
Author | James Cummings |
Publisher | Cambridge University Press |
Pages | 433 |
Release | 2012-11-15 |
Genre | Mathematics |
ISBN | 1139852140 |
This volume takes its name from a popular series of intensive mathematics workshops hosted at institutions in Appalachia and surrounding areas. At these meetings, internationally prominent set theorists give one-day lectures that focus on important new directions, methods, tools and results so that non-experts can begin to master these and incorporate them into their own research. Each chapter in this volume was written by the workshop leaders in collaboration with select student participants, and together they represent most of the meetings from the period 2006–2012. Topics covered include forcing and large cardinals, descriptive set theory, and applications of set theoretic ideas in group theory and analysis, making this volume essential reading for a wide range of researchers and graduate students.
Combinatorial Set Theory of C*-algebras
Title | Combinatorial Set Theory of C*-algebras PDF eBook |
Author | Ilijas Farah |
Publisher | Springer Nature |
Pages | 535 |
Release | 2019-12-24 |
Genre | Mathematics |
ISBN | 3030270939 |
This book explores and highlights the fertile interaction between logic and operator algebras, which in recent years has led to the resolution of several long-standing open problems on C*-algebras. The interplay between logic and operator algebras (C*-algebras, in particular) is relatively young and the author is at the forefront of this interaction. The deep level of scholarship contained in these pages is evident and opens doors to operator algebraists interested in learning about the set-theoretic methods relevant to their field, as well as to set-theorists interested in expanding their view to the non-commutative realm of operator algebras. Enough background is included from both subjects to make the book a convenient, self-contained source for students. A fair number of the exercises form an integral part of the text. They are chosen to widen and deepen the material from the corresponding chapters. Some other exercises serve as a warmup for the latter chapters.
Geometric and Cohomological Group Theory
Title | Geometric and Cohomological Group Theory PDF eBook |
Author | Peter H. Kropholler |
Publisher | Cambridge University Press |
Pages | 277 |
Release | 2018 |
Genre | Mathematics |
ISBN | 131662322X |
Surveys the state of the art in geometric and cohomological group theory. Ideal entry point for young researchers.
Advances in Two-Dimensional Homotopy and Combinatorial Group Theory
Title | Advances in Two-Dimensional Homotopy and Combinatorial Group Theory PDF eBook |
Author | Wolfgang Metzler |
Publisher | Cambridge University Press |
Pages | 193 |
Release | 2018 |
Genre | Mathematics |
ISBN | 1316600904 |
Presents the current state of knowledge in all aspects of two-dimensional homotopy theory. Useful for both students and experts.
Integrable Systems and Algebraic Geometry
Title | Integrable Systems and Algebraic Geometry PDF eBook |
Author | Ron Donagi |
Publisher | Cambridge University Press |
Pages | 421 |
Release | 2020-04-02 |
Genre | Mathematics |
ISBN | 1108715745 |
A collection of articles discussing integrable systems and algebraic geometry from leading researchers in the field.
Shimura Varieties
Title | Shimura Varieties PDF eBook |
Author | Thomas Haines |
Publisher | Cambridge University Press |
Pages | 341 |
Release | 2020-02-20 |
Genre | Mathematics |
ISBN | 1108704867 |
This volume forms the sequel to "On the stabilization of the trace formula", published by International Press of Boston, Inc., 2011