A01=Eric M. Friedlander
Adams operation
Adjoint functors
Alexander Grothendieck
Algebraic closure
Algebraic geometry
Algebraic group
Algebraic K-theory
Algebraic number theory
Algebraic topology
Algebraic topology (object)
Algebraic variety
Author_Eric M. Friedlander
Automorphism
Base change
Cap product
Cartesian product
Category=PBPD
Codimension
Cohomology
Comparison theorem
Complex vector bundle
Derived functor
Dimension (vector space)
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Existence theorem
Ext functor
Exterior algebra
Fiber bundle
Fibration
Functor
Fundamental group
Galois cohomology
Galois extension
Grothendieck topology
Homological algebra
Homology (mathematics)
Homomorphism
Homotopy
Homotopy category
Homotopy group
Integral domain
Intersection (set theory)
Inverse limit
Inverse system
K-theory
Leray spectral sequence
Mapping cylinder
Natural transformation
Noetherian ring
Open set
Presheaf (category theory)
Reductive group
Relative homology
Riemann surface
Serre spectral sequence
Shape theory (mathematics)
Sheaf (mathematics)
Sheaf cohomology
Sheaf of spectra
Simplicial set
Special case
Spectral sequence
Surjective function
Theorem
Topological K-theory
Topological space
Topology
Vector bundle
Weak equivalence (homotopy theory)
Weil conjectures
Weyl group
Witt vector
Zariski topology
Product details
- ISBN 9780691083179
- Weight: 28g
- Dimensions: 152 x 229mm
- Publication Date: 21 Dec 1982
- Publisher: Princeton University Press
- Publication City/Country: US
- Product Form: Paperback
Secure
checkout
Fast Shipping
Easy returns
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.
