Join our mailing list
Get exclusive deals and learn about new products!
Skip to product information
Springer Monographs in Mathematics
Sale price
$143.99
Regular price
$159.99
Reliable shipping
Flexible returns
Springer Monographs in Mathematics
Crabb, Michael; Ranicki, Andrew
Written by leading experts in the field, this monograph provides homotopy theoretic foundations for surgery theory on higher-dimensional manifolds.
Presenting classical ideas in a modern framework, the authors carefully highlight how their results relate to (and generalize) existing results in the literature. The central result of the book expresses algebraic surgery theory in terms of the geometric Hopf invariant, a construction in stable homotopy theory which captures the double points of immersions. Many illustrative examples and applications of the abstract results are included in the book, making it of wide interest to topologists.
Serving as a valuable reference, this work is aimed at graduate students and researchers interested in understanding how the algebraic and geometric topology fit together in the surgery theory of manifolds. It is the only book providing such a wide-ranging historical approach to the Hopf invariant, double points and surgery theory, withmany results old and new.Details
Published by: Springer
Publication Date: 2018-02-06
Format: Hardcover
ISBN-13: 9783319713052
DOI: 10.1007/978-3-319-71306-9
Dimensions: 235cm x155cm
Pages: 397