Appalachian Set Theory

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

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Papers based on a series of workshops where prominent researchers present exciting developments in set theory to a broad audience.

Appalachian Set Theory

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

Download Appalachian Set Theory Book in PDF, Epub and Kindle

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

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

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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

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

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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

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

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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

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

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A collection of articles discussing integrable systems and algebraic geometry from leading researchers in the field.

Shimura Varieties

Shimura Varieties
Title Shimura Varieties PDF eBook
Author Thomas Haines
Publisher Cambridge University Press
Pages 341
Release 2020-02-20
Genre Mathematics
ISBN 1108704867

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This volume forms the sequel to "On the stabilization of the trace formula", published by International Press of Boston, Inc., 2011