A01=John Frank Adams
Adams spectral sequence
Algebraic topology
Author_John Frank Adams
Automorphism
Axiom
Bott periodicity theorem
Calculation
Cartesian product
Category=PBF
Cobordism
Cohomology
Cohomology operation
Cohomology ring
CW complex
De Rham cohomology
Diagram (category theory)
Double coset
Eilenberg-Steenrod axioms
Endomorphism
Epimorphism
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Existential quantification
Explicit formulae (L-function)
Exterior algebra
F-space
Fiber bundle
Fibration
Functor
Fundamental group
H-space
Homomorphism
Homotopy
Homotopy category
Homotopy group
Hurewicz theorem
Inverse limit
J-homomorphism
K-theory
Loop space
Mathematical induction
Module (mathematics)
Monoid
Monoidal category
Moore space
Morphism
P-adic number
P-complete
Permutation
Prime number
Principal bundle
Principal ideal domain
Pullback (category theory)
Quotient space (topology)
Riemannian manifold
Ring spectrum
Serre spectral sequence
Simplicial set
Simplicial space
Special case
Spectral sequence
Stable homotopy theory
Steenrod algebra
Subalgebra
Subring
Surjective function
Theorem
Theory
Topological space
Topology
Universal bundle
Universal coefficient theorem
Vector bundle
Weak equivalence (homotopy theory)
Product details
- ISBN 9780691082066
- Weight: 340g
- Dimensions: 152 x 229mm
- Publication Date: 21 Sep 1978
- Publisher: Princeton University Press
- Publication City/Country: US
- Product Form: Paperback
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The theory of infinite loop spaces has been the center of much recent activity in algebraic topology. Frank Adams surveys this extensive work for researchers and students. Among the major topics covered are generalized cohomology theories and spectra; infinite-loop space machines in the sense of Boadman-Vogt, May, and Segal; localization and group completion; the transfer; the Adams conjecture and several proofs of it; and the recent theories of Adams and Priddy and of Madsen, Snaith, and Tornehave.
