An Alpine Anthology Of Homotopy Theory
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Author | : |
Publisher | : American Mathematical Soc. |
Total Pages | : 209 |
Release | : 2006 |
Genre | : Algebraic topology |
ISBN | : 9780821857311 |
Download An Alpine Anthology of Homotopy Theory Book in PDF, Epub and Kindle
Author | : Dominique Arlettaz |
Publisher | : American Mathematical Soc. |
Total Pages | : 228 |
Release | : 2006 |
Genre | : Mathematics |
ISBN | : 082183696X |
Download An Alpine Anthology of Homotopy Theory Book in PDF, Epub and Kindle
The second Arolla conference on algebraic topology brought together specialists covering a wide range of homotopy theory and $K$-theory. These proceedings reflect both the variety of talks given at the conference and the diversity of promising research directions in homotopy theory. The articles contained in this volume include significant contributions to classical unstable homotopy theory, model category theory, equivariant homotopy theory, and the homotopy theory of fusionsystems, as well as to $K$-theory of both local fields and $C*$-algebras.
Author | : Dominique Arlettaz |
Publisher | : American Mathematical Soc. |
Total Pages | : 274 |
Release | : 2000 |
Genre | : Mathematics |
ISBN | : 0821820788 |
Download Une Degustation Topologique: Homotopy Theory in the Swiss Alps Book in PDF, Epub and Kindle
The talks given at the Arolla Conference on Algebraic Topology covered a broad spectrum of current research in homotopy theory, offering participants the possibility to sample and relish selected morsels of homotopy theory, much as a participant in a wine tasting partakes of a variety of fine wines. True to the spirit of the conference, the proceedings included in this volume present a savory sampler of homotopical delicacies. Readers will find within these pages a compilation of articles describing current research in the area, including classical stable and unstable homotopy theory, configuration spaces, group cohomology, K-theory, localization, p-compact groups, and simplicial theory.
Author | : Haynes Miller |
Publisher | : CRC Press |
Total Pages | : 1043 |
Release | : 2020-01-23 |
Genre | : Mathematics |
ISBN | : 1351251600 |
Download Handbook of Homotopy Theory Book in PDF, Epub and Kindle
The Handbook of Homotopy Theory provides a panoramic view of an active area in mathematics that is currently seeing dramatic solutions to long-standing open problems, and is proving itself of increasing importance across many other mathematical disciplines. The origins of the subject date back to work of Henri Poincaré and Heinz Hopf in the early 20th century, but it has seen enormous progress in the 21st century. A highlight of this volume is an introduction to and diverse applications of the newly established foundational theory of ¥ -categories. The coverage is vast, ranging from axiomatic to applied, from foundational to computational, and includes surveys of applications both geometric and algebraic. The contributors are among the most active and creative researchers in the field. The 22 chapters by 31 contributors are designed to address novices, as well as established mathematicians, interested in learning the state of the art in this field, whose methods are of increasing importance in many other areas.
Author | : Jérôme Scherer |
Publisher | : American Mathematical Soc. |
Total Pages | : 322 |
Release | : 2018-05-30 |
Genre | : Mathematics |
ISBN | : 147042911X |
Download An Alpine Bouquet of Algebraic Topology Book in PDF, Epub and Kindle
This volume contains the proceedings of the Alpine Algebraic and Applied Topology Conference, held from August 15–21, 2016, in Saas-Almagell, Switzerland. The papers cover a broad range of topics in modern algebraic topology, including the theory of highly structured ring spectra, infinity-categories and Segal spaces, equivariant homotopy theory, algebraic -theory and topological cyclic, periodic, or Hochschild homology, intersection cohomology, and symplectic topology.
Author | : Paul Arne Østvær |
Publisher | : Springer Science & Business Media |
Total Pages | : 142 |
Release | : 2010-09-08 |
Genre | : Mathematics |
ISBN | : 303460565X |
Download Homotopy Theory of C*-Algebras Book in PDF, Epub and Kindle
Homotopy theory and C* algebras are central topics in contemporary mathematics. This book introduces a modern homotopy theory for C*-algebras. One basic idea of the setup is to merge C*-algebras and spaces studied in algebraic topology into one category comprising C*-spaces. These objects are suitable fodder for standard homotopy theoretic moves, leading to unstable and stable model structures. With the foundations in place one is led to natural definitions of invariants for C*-spaces such as homology and cohomology theories, K-theory and zeta-functions. The text is largely self-contained. It serves a wide audience of graduate students and researchers interested in C*-algebras, homotopy theory and applications.
Author | : Luchezar L. Avramov |
Publisher | : American Mathematical Soc. |
Total Pages | : 352 |
Release | : 2007 |
Genre | : Mathematics |
ISBN | : 0821838148 |
Download Interactions between Homotopy Theory and Algebra Book in PDF, Epub and Kindle
This book is based on talks presented at the Summer School on Interactions between Homotopy theory and Algebra held at the University of Chicago in the summer of 2004. The goal of this book is to create a resource for background and for current directions of research related to deep connections between homotopy theory and algebra, including algebraic geometry, commutative algebra, and representation theory. The articles in this book are aimed at the audience of beginning researchers with varied mathematical backgrounds and have been written with both the quality of exposition and the accessibility to novices in mind.
Author | : Daniel G. Davis |
Publisher | : American Mathematical Soc. |
Total Pages | : 268 |
Release | : 2019-05-30 |
Genre | : Homotopy theory |
ISBN | : 1470442442 |
Download Homotopy Theory: Tools and Applications Book in PDF, Epub and Kindle
This volume contains the proceedings of the conference Homotopy Theory: Tools and Applications, in honor of Paul Goerss's 60th birthday, held from July 17–21, 2017, at the University of Illinois at Urbana-Champaign, Urbana, IL. The articles cover a variety of topics spanning the current research frontier of homotopy theory. This includes articles concerning both computations and the formal theory of chromatic homotopy, different aspects of equivariant homotopy theory and K-theory, as well as articles concerned with structured ring spectra, cyclotomic spectra associated to perfectoid fields, and the theory of higher homotopy operations.
Author | : Scott Balchin |
Publisher | : Cambridge University Press |
Total Pages | : 357 |
Release | : 2021-11-18 |
Genre | : Mathematics |
ISBN | : 1108931944 |
Download Equivariant Topology and Derived Algebra Book in PDF, Epub and Kindle
A collection of research papers, both new and expository, based on the interests of Professor J. P. C. Greenlees.
Author | : Scott Balchin |
Publisher | : Springer Nature |
Total Pages | : 326 |
Release | : 2021-10-29 |
Genre | : Mathematics |
ISBN | : 3030750353 |
Download A Handbook of Model Categories Book in PDF, Epub and Kindle
This book outlines a vast array of techniques and methods regarding model categories, without focussing on the intricacies of the proofs. Quillen model categories are a fundamental tool for the understanding of homotopy theory. While many introductions to model categories fall back on the same handful of canonical examples, the present book highlights a large, self-contained collection of other examples which appear throughout the literature. In particular, it collects a highly scattered literature into a single volume. The book is aimed at anyone who uses, or is interested in using, model categories to study homotopy theory. It is written in such a way that it can be used as a reference guide for those who are already experts in the field. However, it can also be used as an introduction to the theory for novices.