Other available formats:
Looking for an examination copy?
This title is not currently available for examination. However, if you are interested in the title for your course we can consider offering an examination copy. To register your interest please contact email@example.com providing details of the course you are teaching.
Graduate students and researchers alike will benefit from this treatment of classical and modern topics in homotopy theory of topological spaces with an emphasis on cubical diagrams. The book contains 300 examples and provides detailed explanations of many fundamental results. Part I focuses on foundational material on homotopy theory, viewed through the lens of cubical diagrams: fibrations and cofibrations, homotopy pullbacks and pushouts, and the Blakers–Massey Theorem. Part II includes a brief example-driven introduction to categories, limits and colimits, an accessible account of homotopy limits and colimits of diagrams of spaces, and a treatment of cosimplicial spaces. The book finishes with applications to some exciting new topics that use cubical diagrams: an overview of two versions of calculus of functors and an account of recent developments in the study of the topology of spaces of knots.Read more
- Accessible graduate-level text with 300 examples
- Contemporary treatment of classical topics will make it a valuable reference for researchers
- Explores applications that may inspire readers to pursue further research in the area
Reviews & endorsements
'… this volume can serve as a good point of reference for the machinery of homotopy pullbacks and pushouts of punctured n-cubes, with all the associated theory that comes with it, and shows with clarity the interest these methods have in helping to solve current, general problems in homotopy theory. Chapter 10, in particular, proves that what is presented here goes beyond the simple development of a new language to deal with old problems, and rather shows promise and power that should be taken into account.' Miguel Saramago, MathSciNet
Not yet reviewed
Be the first to review
Review was not posted due to profanity×
- Date Published: October 2015
- format: Hardback
- isbn: 9781107030251
- length: 644 pages
- dimensions: 235 x 160 x 38 mm
- weight: 1.01kg
- contains: 20 b/w illus.
- availability: In stock
Table of Contents
Part I. Cubical Diagrams:
2. 1-cubes: homotopy fibers and cofibers
3. 2-cubes: homotopy pullbacks and pushouts
4. 2-cubes: the Blakers-Massey Theorems
5. n-cubes: generalized homotopy pullbacks and pushouts
6. The Blakers–Massey Theorems for n-cubes
Part II. Generalizations, Related Topics, and Applications:
7. Some category theory
8. Homotopy limits and colimits of diagrams of spaces
9. Cosimplicial spaces
Sorry, this resource is locked
Please register or sign in to request access. If you are having problems accessing these resources please email firstname.lastname@example.orgRegister Sign in
You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.Continue ×
Are you sure you want to delete your account?
This cannot be undone.
Thank you for your feedback which will help us improve our service.
If you requested a response, we will make sure to get back to you shortly.×