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

Etale Homotopy of Simplicial Schemes. (AM-104), Volume 104 / / Eric M. Friedlander.

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, an...

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Superior document:Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020
VerfasserIn:
Friedlander, Eric M.,
Place / Publishing House:Princeton, NJ : : Princeton University Press, , [2016]
©1983
Year of Publication:2016
Language:English
Series:Annals of Mathematics Studies ; 104
Online Access:
Physical Description:1 online resource (191 p.)
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050 4 |a QA612.3  |b .F74 1982 
072 7 |a MAT038000  |2 bisacsh 
082 0 4 |a 514/.24  |2 19 
100 1 |a Friedlander, Eric M.,   |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 0 |a Etale Homotopy of Simplicial Schemes. (AM-104), Volume 104 /  |c Eric M. Friedlander. 
264 1 |a Princeton, NJ :   |b Princeton University Press,   |c [2016] 
264 4 |c ©1983 
300 |a 1 online resource (191 p.) 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
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490 0 |a Annals of Mathematics Studies ;  |v 104 
505 0 0 |t Frontmatter --   |t INTRODUCTION --   |t 1. ETALE SITE OF A SIMPLICIAL SCHEME --   |t 2. SHEAVES AND COHOMOLOGY --   |t 3. COHOMOLOGY VIA HYPERCOVERINGS --   |t 4. ETALE TOPOLOGICAL TYPE --   |t 5. HOMOTOPY INVARIANTS --   |t 6. WEAK EQUIVALENCES, COMPLETIONS, AND HOMOTOPY LIMITS --   |t 7. FINITENESS AND HOMOLOGY --   |t 8. COMPARISON OF HOMOTOPY TYPES --   |t 9. APPLICATIONS TO TOPOLOGY --   |t 10. COMPARISON OF GEOMETRIC AND HOMOTOPY THEORETIC FIBRES --   |t 11. APPLICATIONS TO GEOMETRY --   |t 12. APPLICATIONS TO FINITE CHE VALLEY GROUPS --   |t 13. FUNCTION COMPLEXES --   |t 14. RELATIVE COHOMOLOGY --   |t 15. TUBULAR NEIGHBORHOODS --   |t 16. GENERALIZED COHOMOLOGY --   |t 17. POINCARÉ DUALITY AND LOCALLY COMPACT HOMOLOGY --   |t REFERENCES --   |t INDEX --   |t Backmatter 
506 0 |a restricted access  |u http://purl.org/coar/access_right/c_16ec  |f online access with authorization  |2 star 
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. 
530 |a Issued also in print. 
538 |a Mode of access: Internet via World Wide Web. 
546 |a In English. 
588 0 |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 31. Jan 2022) 
650 0 |a Homology theory. 
650 0 |a Homotopy theory. 
650 0 |a Schemes (Algebraic geometry). 
650 7 |a MATHEMATICS / Topology.  |2 bisacsh 
653 |a Abelian group. 
653 |a Adams operation. 
653 |a Adjoint functors. 
653 |a Alexander Grothendieck. 
653 |a Algebraic K-theory. 
653 |a Algebraic closure. 
653 |a Algebraic geometry. 
653 |a Algebraic group. 
653 |a Algebraic number theory. 
653 |a Algebraic structure. 
653 |a Algebraic topology (object). 
653 |a Algebraic topology. 
653 |a Algebraic variety. 
653 |a Algebraically closed field. 
653 |a Automorphism. 
653 |a Base change. 
653 |a Cap product. 
653 |a Cartesian product. 
653 |a Closed immersion. 
653 |a Codimension. 
653 |a Coefficient. 
653 |a Cohomology. 
653 |a Comparison theorem. 
653 |a Complex number. 
653 |a Complex vector bundle. 
653 |a Connected component (graph theory). 
653 |a Connected space. 
653 |a Coprime integers. 
653 |a Corollary. 
653 |a Covering space. 
653 |a Derived functor. 
653 |a Dimension (vector space). 
653 |a Disjoint union. 
653 |a Embedding. 
653 |a Existence theorem. 
653 |a Ext functor. 
653 |a Exterior algebra. 
653 |a Fiber bundle. 
653 |a Fibration. 
653 |a Finite field. 
653 |a Finite group. 
653 |a Free group. 
653 |a Functor. 
653 |a Fundamental group. 
653 |a Galois cohomology. 
653 |a Galois extension. 
653 |a Geometry. 
653 |a Grothendieck topology. 
653 |a Homogeneous space. 
653 |a Homological algebra. 
653 |a Homology (mathematics). 
653 |a Homomorphism. 
653 |a Homotopy category. 
653 |a Homotopy group. 
653 |a Homotopy. 
653 |a Integral domain. 
653 |a Intersection (set theory). 
653 |a Inverse limit. 
653 |a Inverse system. 
653 |a K-theory. 
653 |a Leray spectral sequence. 
653 |a Lie group. 
653 |a Local ring. 
653 |a Mapping cylinder. 
653 |a Natural number. 
653 |a Natural transformation. 
653 |a Neighbourhood (mathematics). 
653 |a Newton polynomial. 
653 |a Noetherian ring. 
653 |a Open set. 
653 |a Opposite category. 
653 |a Pointed set. 
653 |a Presheaf (category theory). 
653 |a Reductive group. 
653 |a Regular local ring. 
653 |a Relative homology. 
653 |a Residue field. 
653 |a Riemann surface. 
653 |a Root of unity. 
653 |a Serre spectral sequence. 
653 |a Shape theory (mathematics). 
653 |a Sheaf (mathematics). 
653 |a Sheaf cohomology. 
653 |a Sheaf of spectra. 
653 |a Simplex. 
653 |a Simplicial set. 
653 |a Special case. 
653 |a Spectral sequence. 
653 |a Surjective function. 
653 |a Theorem. 
653 |a Topological K-theory. 
653 |a Topological space. 
653 |a Topology. 
653 |a Tubular neighborhood. 
653 |a Vector bundle. 
653 |a Weak equivalence (homotopy theory). 
653 |a Weil conjectures. 
653 |a Weyl group. 
653 |a Witt vector. 
653 |a Zariski topology. 
773 0 8 |i Title is part of eBook package:  |d De Gruyter  |t Princeton Annals of Mathematics eBook-Package 1940-2020  |z 9783110494914  |o ZDB-23-PMB 
773 0 8 |i Title is part of eBook package:  |d De Gruyter  |t Princeton University Press eBook-Package Archive 1927-1999  |z 9783110442496 
776 0 |c print  |z 9780691083179 
856 4 0 |u https://doi.org/10.1515/9781400881499 
856 4 0 |u https://www.degruyter.com/isbn/9781400881499 
856 4 2 |3 Cover  |u https://www.degruyter.com/document/cover/isbn/9781400881499/original 
912 |a 978-3-11-044249-6 Princeton University Press eBook-Package Archive 1927-1999  |c 1927  |d 1999 
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