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Introduction to Stable Homotopy Theory
  • Language: en
  • Pages: 431

Introduction to Stable Homotopy Theory

A comprehensive introduction to stable homotopy theory for beginning graduate students, from motivating phenomena to current research.

A Handbook of Model Categories
  • Language: en
  • Pages: 326

A Handbook of Model Categories

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.

An Alpine Expedition through Algebraic Topology
  • Language: en
  • Pages: 314

An Alpine Expedition through Algebraic Topology

This volume contains the proceedings of the Fourth Arolla Conference on Algebraic Topology, which took place in Arolla, Switzerland, from August 20-25, 2012. The papers in this volume cover topics such as category theory and homological algebra, functor homology, algebraic -theory, cobordism categories, group theory, generalized cohomology theories and multiplicative structures, the theory of iterated loop spaces, Smith-Toda complexes, and topological modular forms.

Interactions between Homotopy Theory and Algebra
  • Language: en
  • Pages: 352

Interactions between Homotopy Theory and Algebra

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.

Geometry & Topology
  • Language: en
  • Pages: 596

Geometry & Topology

  • Type: Book
  • -
  • Published: 2007
  • -
  • Publisher: Unknown

Fully refereed international journal dealing with all aspects of geometry and topology and their applications.

Equivariant Stable Homotopy Theory and the Kervaire Invariant Problem
  • Language: en
  • Pages: 881

Equivariant Stable Homotopy Theory and the Kervaire Invariant Problem

A complete and definitive account of the authors' resolution of the Kervaire invariant problem in stable homotopy theory.

Women in Topology
  • Language: en
  • Pages: 178

Women in Topology

This volume contains the proceedings of the WIT: Women in Topology workshop, held from August 18-23, 2013, at the Banff International Research Station, Banff, Alberta, Canada. The Women in Topology workshop was devoted primarily to active collaboration by teams of five to seven participants, each including senior and junior researchers, as well as graduate students. This volume contains papers based on the results obtained by team projects in homotopy theory, including -infinity structures, equivariant homotopy theory, functor calculus, model categories, orbispaces, and topological Hochschild homology.

New Developments in Topology
  • Language: en
  • Pages: 137

New Developments in Topology

Eleven of the fourteen invited speakers at a symposium held by the Oxford Mathematical Institute in June 1972 have revised their contributions and submitted them for publication in this volume. The present papers do not necessarily closely correspond with the original talks, as it was the intention of the volume editor to make this book of mathematical rather than historical interest. The contributions will be of value to workers in topology in universities and polytechnics.

Stable Categories and Structured Ring Spectra
  • Language: en
  • Pages: 441

Stable Categories and Structured Ring Spectra

A graduate-level introduction to the homotopical technology in use at the forefront of modern algebraic topology.

From Categories to Homotopy Theory
  • Language: en
  • Pages: 401

From Categories to Homotopy Theory

Bridge the gap between category theory and its applications in homotopy theory with this guide for graduate students and researchers.