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Handbook of Homotopy Theory

2020-01-23 Mathematics
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Release : 2020-01-23
Genre : Mathematics
Kind : eBook
Book Rating : 619/5 ( reviews)

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Book Synopsis Handbook of Homotopy Theory by : Haynes Miller

Download or read book Handbook of Homotopy Theory written by Haynes Miller. This book was released on 2020-01-23. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Handbook of Algebraic Topology

1995-07-18 Mathematics
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Release : 1995-07-18
Genre : Mathematics
Kind : eBook
Book Rating : 985/5 ( reviews)

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Book Synopsis Handbook of Algebraic Topology by : I.M. James

Download or read book Handbook of Algebraic Topology written by I.M. James. This book was released on 1995-07-18. Available in PDF, EPUB and Kindle. Book excerpt: Algebraic topology (also known as homotopy theory) is a flourishing branch of modern mathematics. It is very much an international subject and this is reflected in the background of the 36 leading experts who have contributed to the Handbook. Written for the reader who already has a grounding in the subject, the volume consists of 27 expository surveys covering the most active areas of research. They provide the researcher with an up-to-date overview of this exciting branch of mathematics.

Homotopy Type Theory: Univalent Foundations of Mathematics

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Kind : eBook
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Book Synopsis Homotopy Type Theory: Univalent Foundations of Mathematics by :

Download or read book Homotopy Type Theory: Univalent Foundations of Mathematics written by . This book was released on . Available in PDF, EPUB and Kindle. Book excerpt:

A Handbook of Model Categories

2021-10-29 Mathematics
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Release : 2021-10-29
Genre : Mathematics
Kind : eBook
Book Rating : 353/5 ( reviews)

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Book Synopsis A Handbook of Model Categories by : Scott Balchin

Download or read book A Handbook of Model Categories written by Scott Balchin. This book was released on 2021-10-29. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Handbook of algebraic topology

1995
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Release : 1995
Genre :
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Book Synopsis Handbook of algebraic topology by :

Download or read book Handbook of algebraic topology written by . This book was released on 1995. Available in PDF, EPUB and Kindle. Book excerpt: Presents information on the "Handbook of Algebraic Topology," published by Elsevier Science. Includes a foreword, a list of contributors, and a subject index. Provides access to related journals and offers ordering information. Posts contact information via mailing address, telephone and fax numbers, and e-mail. Notes that algebraic topology, also known as homotopy theory, is a branch of modern mathematics.

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