Geometric Hopf Invariant and Surgery Theory (e-bog) af Ranicki, Andrew
Ranicki, Andrew (forfatter)

Geometric Hopf Invariant and Surgery Theory e-bog

1021,49 DKK (inkl. moms 1276,86 DKK)
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 geo...
E-bog 1021,49 DKK
Forfattere Ranicki, Andrew (forfatter)
Forlag Springer
Udgivet 24 januar 2018
Genrer PBP
Sprog English
Format pdf
Beskyttelse LCP
ISBN 9783319713069
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, with many results old and new.