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Springer Monographs in Mathematics

Local Homotopy Theory

Authors: Jardine, John

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  • Equips the reader with the background necessary to understand recent advances in homotopy theory and algebraic geometry
  • Written by one of the main contributors to the field
  • Goes beyond the formalism of the theory to explain the development and applications of the main ideas and results
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eBook 79,72 €
price for Spain (gross)
  • ISBN 978-1-4939-2300-7
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 114,39 €
price for Spain (gross)
  • ISBN 978-1-4939-2299-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 98,79 €
price for Spain (gross)
  • ISBN 978-1-4939-4044-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this book

This monograph on the homotopy theory of topologized diagrams of spaces and spectra gives an expert account of a subject at the foundation of motivic homotopy theory and the theory of topological modular forms in stable homotopy theory.

Beginning with an introduction to the homotopy theory of simplicial sets and topos theory, the book covers core topics such as the unstable homotopy theory of simplicial presheaves and sheaves, localized theories, cocycles, descent theory, non-abelian cohomology, stacks, and local stable homotopy theory. A detailed treatment of the formalism of the subject is interwoven with explanations of the motivation, development, and nuances of ideas and results. The coherence of the abstract theory is elucidated through the use of widely applicable tools, such as Barr's theorem on Boolean localization, model structures on the category of simplicial presheaves on a site, and cocycle categories. A wealth of concrete examples convey the vitality and importance of the subject in topology, number theory, algebraic geometry, and algebraic K-theory.

Assuming basic knowledge of algebraic geometry and homotopy theory, Local Homotopy Theory will appeal to researchers and advanced graduate students seeking to understand and advance the applications of homotopy theory in multiple areas of mathematics and the mathematical sciences.

About the authors

J. F. Jardine is Canada Research Chair and Professor of Mathematics at the University of Western Ontario. He is the author of Generalized Etale Cohomology Theories and Simplicial Homotopy Theory (with P. Goerss).

Table of contents (11 chapters)

Table of contents (11 chapters)

Buy this book

eBook 79,72 €
price for Spain (gross)
  • ISBN 978-1-4939-2300-7
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 114,39 €
price for Spain (gross)
  • ISBN 978-1-4939-2299-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 98,79 €
price for Spain (gross)
  • ISBN 978-1-4939-4044-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Local Homotopy Theory
Authors
Series Title
Springer Monographs in Mathematics
Copyright
2015
Publisher
Springer-Verlag New York
Copyright Holder
Springer-Verlag New York
eBook ISBN
978-1-4939-2300-7
DOI
10.1007/978-1-4939-2300-7
Hardcover ISBN
978-1-4939-2299-4
Softcover ISBN
978-1-4939-4044-8
Series ISSN
1439-7382
Edition Number
1
Number of Pages
IX, 508
Number of Illustrations
514 b/w illustrations
Topics