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.
General
Imprint: |
Cambridge UniversityPress
|
Country of origin: |
United Kingdom |
Series: |
Cambridge Studies in Advanced Mathematics |
Release date: |
July 2016 |
Authors: |
C.T.C. Wall
|
Dimensions: |
229 x 157 x 25mm (L x W x T) |
Format: |
Hardcover
|
Pages: |
353 |
ISBN-13: |
978-1-107-15352-3 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Topology >
Analytic topology
|
LSN: |
1-107-15352-2 |
Barcode: |
9781107153523 |
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