Skip to main content Accessibility help
×
  1. Home
  2. Books
  3. Differential Topology
  • Cited by 23
Publisher:
Cambridge University Press
Online publication date:
July 2016
Print publication year:
2016
Online ISBN:
9781316597835
DOI:
https://doi.org/10.1017/CBO9781316597835
Subjects:
Mathematics (general), Mathematics, Geometry and Topology
Series:
Cambridge Studies in Advanced Mathematics (156)
Information

Book description

Exploring the full scope of differential topology, this comprehensive account of geometric techniques for studying the topology of smooth manifolds offers a wide perspective on the field. Building up from first principles, concepts of manifolds are introduced, supplemented by thorough appendices giving background on topology and homotopy theory. Deep results are then developed from these foundations through in-depth treatments of the notions of general position and transversality, proper actions of Lie groups, handles (up to the h-cobordism theorem), immersions and embeddings, concluding with the surgery procedure and cobordism theory. Fully illustrated and rigorous in its approach, little prior knowledge is assumed, and yet growing complexity is instilled throughout. This structure gives advanced students and researchers an accessible route into the wide-ranging field of differential topology.

Reviews

'The book is of the highest quality as far as scholarship and exposition are concerned, which fits with the fact that Wall is a very big player in this game. I have had occasion over the years to do a good deal of work from books in the Cambridge Studies in Advanced Mathematics Series, always top drawer productions, and the present volume is no exception. I very much look forward to making good use of this fine book.'

Michael Berg Source: MAA Reviews

'This monograph by the famous topologist C. T. C. Wall is based on his mimeographed notes from the 1960s. These notes are amended and supplemented with some new material, but they retain the spirit of the time when dfferential topology was still new and there were no books on the subject. This makes for a comprehensive yet highly readable introduction to the subject which has the right balance of intuition and rigor and which does not shy away from explaining 'well-known' facts.'

Nikolai N. Saveliev Source: Mathematical Reviews

Refine List

Actions for selected content:

Select all | Deselect all
  • View selected items
  • Export citations
  • Download PDF (zip)
  • Save to Kindle
  • Save to Dropbox
  • Save to Google Drive

Save Search

You can save your searches here and later view and run them again in "My saved searches".

Please provide a title, maximum of 40 characters.
Cancel
×

Contents

Contents

Metrics

Altmetric attention score

Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Book summary page views

Total views: 0 *
Loading metrics...

* Views captured on Cambridge Core between #date#. This data will be updated every 24 hours.

Usage data cannot currently be displayed.

Accessibility standard: Unknown

Why this information is here

This section outlines the accessibility features of this content - including support for screen readers, full keyboard navigation and high-contrast display options. This may not be relevant for you.

Accessibility Information

Accessibility compliance for the PDF of this book is currently unknown and may be updated in the future.