The Geometric Hopf Invariant and Surgery Theory pdf epub mobi txt 电子书下载 2024

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Michael Crabb

Springer

2017

397

9783319713052

图书标签: topology

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发表于2024-12-25

The Geometric Hopf Invariant and Surgery Theory epub 下载 mobi 下载 pdf 下载 txt 电子书下载 2024

The Geometric Hopf Invariant and Surgery Theory pdf epub mobi txt 电子书下载 2024

图书描述

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.

The Geometric Hopf Invariant and Surgery Theory 下载 mobi epub pdf txt 电子书