|
|
|
|
| LEADER |
02194nmm a2200301 u 4500 |
| 001 |
EB001383290 |
| 003 |
EBX01000000000000000906255 |
| 005 |
00000000000000.0 |
| 007 |
cr||||||||||||||||||||| |
| 008 |
170329 ||| eng |
| 020 |
|
|
|a 9781400881499
|
| 100 |
1 |
|
|a Friedlander, Eric M.
|
| 245 |
0 |
0 |
|a Etale Homotopy of Simplicial Schemes. (AM-104)
|h Elektronische Ressource
|c Eric M. Friedlander
|
| 260 |
|
|
|a Princeton, NJ
|b Princeton University Press
|c 2016, [2016]©1983
|
| 300 |
|
|
|a online resource
|
| 653 |
|
|
|a Schemes (Algebraic geometry)
|
| 653 |
|
|
|a Homology theory
|
| 653 |
|
|
|a Homotopy theory
|
| 041 |
0 |
7 |
|a eng
|2 ISO 639-2
|
| 989 |
|
|
|b GRUYMPG
|a DeGruyter MPG Collection
|
| 490 |
0 |
|
|a Annals of Mathematics Studies
|
| 500 |
|
|
|a Mode of access: Internet via World Wide Web
|
| 028 |
5 |
0 |
|a 10.1515/9781400881499
|
| 773 |
0 |
|
|t Princeton eBook Package Archive 1931-1999
|
| 773 |
0 |
|
|t Princeton Annals of Mathematics Backlist eBook Package
|
| 856 |
4 |
0 |
|u https://www.degruyter.com/doi/book/10.1515/9781400881499
|x Verlag
|3 Volltext
|
| 082 |
0 |
|
|a 514/.24
|
| 520 |
|
|
|a 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
|