Etale Homotopy of Simplicial Schemes. (AM-104), Volume 104

Released on by Eric M. Friedlander
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  • Etale Homotopy of Simplicial Schemes. (AM-104), Volume 104 Book Detail

  • Author : Eric M. Friedlander
  • Release Date : 2016-03-02
  • Publisher : Princeton University Press
  • Genre : Mathematics
  • Pages : 191
  • ISBN 13 : 1400881498
  • File Size : 17,17 MB
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Etale Homotopy of Simplicial Schemes. (AM-104), Volume 104 by Eric M. Friedlander PDF Summary

Book Description: This book presents a coherent account of the current status of etale homotopy theory, a topological theory introduced into abstract algebraic geometry by M. Artin and B. Mazur. Eric M. Friedlander presents many of his own applications of this theory to algebraic topology, finite Chevalley groups, and algebraic geometry. Of particular interest are the discussions concerning the Adams Conjecture, K-theories of finite fields, and Poincare duality. Because these applications have required repeated modifications of the original formulation of etale homotopy theory, the author provides a new treatment of the foundations which is more general and more precise than previous versions. One purpose of this book is to offer the basic techniques and results of etale homotopy theory to topologists and algebraic geometers who may then apply the theory in their own work. With a view to such future applications, the author has introduced a number of new constructions (function complexes, relative homology and cohomology, generalized cohomology) which have immediately proved applicable to algebraic K-theory.

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Knots and Primes

Knots and Primes

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This is a foundation for arithmetic topology - a new branch of mathematics which is focused upon the analogy between knot theory and number theory. Starting wit