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 ...
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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.
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Add this copy of The Geometric Hopf Invariant and Surgery Theory to cart. $86.00, very good condition, Sold by Open Books Ltd rated 4.0 out of 5 stars, ships from Chicago, IL, UNITED STATES, published 2018 by Springer.
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Add this copy of The Geometric Hopf Invariant and Surgery Theory (Hb to cart. $110.94, new condition, Sold by Books International rated 4.0 out of 5 stars, ships from Toronto, ON, CANADA, published 2018 by Springer International Publishing AG.
Add this copy of The Geometric Hopf Invariant and Surgery Theory to cart. $150.29, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 2019 by Springer.
Add this copy of The Geometric Hopf Invariant and Surgery Theory to cart. $150.29, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 2018 by Springer International Publishing AG.
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New. Print on demand Contains: Illustrations, color. Springer Monographs in Mathematics . XVI, 397 p. 1 illus. in color. Intended for college/higher education audience.
