Normal view MARC view ISBD view

Differential topology

By: Wall ,C.T.C.
Material type: materialTypeLabelBookSeries: Cambridge series in advanced mathematics. Publisher: UK Cambridge university press 2016Description: 346 p.ISBN: 9781107153523.Subject(s): Differential topology | Geometry | TopologyDDC classification: 514.72 Summary: 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 http://www.cambridge.org/nu/academic/subjects/mathematics/geometry-and-topology/differential-topology?format=HB&isbn=9781107153523#U3GdHzQ5wljYr8UI.97
List(s) this item appears in: Prof. A. K. Laha
Tags from this library: No tags from this library for this title. Add tag(s)
Log in to add tags.
    average rating: 0.0 (0 votes)
Item type Current location Collection Call number Status Date due Barcode
Books Books Vikram Sarabhai Library
General Stacks
Non Fiction 514.72 W2D4 (Browse shelf) Available 194402

Table of Contents:


1. Foundations
2. Geometrical tools
3. Differentiable group actions
4. General position and transversality
5. Theory of handle decompositions
6. Immersions and embeddings
7. Surgery
8. Cobordism
Appendix A. Topology
Appendix B. Homotopy theory


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


http://www.cambridge.org/nu/academic/subjects/mathematics/geometry-and-topology/differential-topology?format=HB&isbn=9781107153523#U3GdHzQ5wljYr8UI.97


There are no comments for this item.

Log in to your account to post a comment.

Powered by Koha