A Course on Surgery Theory

Released on by Stanley Chang
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  • A Course on Surgery Theory Book Detail

  • Author : Stanley Chang
  • Release Date : 2021-01-26
  • Publisher : Princeton University Press
  • Genre : Mathematics
  • Pages : 472
  • ISBN 13 : 0691200351
  • File Size : 23,23 MB
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A Course on Surgery Theory by Stanley Chang PDF Summary

Book Description: An advanced treatment of surgery theory for graduate students and researchers Surgery theory, a subfield of geometric topology, is the study of the classifications of manifolds. A Course on Surgery Theory offers a modern look at this important mathematical discipline and some of its applications. In this book, Stanley Chang and Shmuel Weinberger explain some of the triumphs of surgery theory during the past three decades, from both an algebraic and geometric point of view. They also provide an extensive treatment of basic ideas, main theorems, active applications, and recent literature. The authors methodically cover all aspects of surgery theory, connecting it to other relevant areas of mathematics, including geometry, homotopy theory, analysis, and algebra. Later chapters are self-contained, so readers can study them directly based on topic interest. Of significant use to high-dimensional topologists and researchers in noncommutative geometry and algebraic K-theory, A Course on Surgery Theory serves as an important resource for the mathematics community.

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A Course on Surgery Theory

A Course on Surgery Theory

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An advanced treatment of surgery theory for graduate students and researchers Surgery theory, a subfield of geometric topology, is the study of the classificati

K-theory in Algebra, Analysis and Topology

K-theory in Algebra, Analysis and Topology

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This volume contains the proceedings of the ICM 2018 satellite school and workshop K-theory conference in Argentina. The school was held from July 16–20, 2018