Infinite Loop Spaces (AM-90), Volume 90 : Hermann Weyl Lectures, The Institute for Advanced Study. (AM-90) /

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 Boa...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Adams, John Frank (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton, NJ : Princeton University Press, [1978]
Colección:Annals of Mathematics Studies ; 90
Temas:
Infinite loop spaces.
MATHEMATICS / General.
Abelian group.
Adams spectral sequence.
Adjoint functors.
Algebraic K-theory.
Algebraic topology.
Automorphism.
Axiom.
Bott periodicity theorem.
CW complex.
Calculation.
Cartesian product.
Cobordism.
Coefficient.
Cofibration.
Cohomology operation.
Cohomology ring.
Cohomology.
Commutative diagram.
Continuous function.
Counterexample.
De Rham cohomology.
Diagram (category theory).
Differentiable manifold.
Dimension.
Discrete space.
Disjoint union.
Double coset.
Eilenberg.
Eilenberg-Steenrod axioms.
Endomorphism.
Epimorphism.
Equivalence class.
Euler class.
Existential quantification.
Explicit formulae (L-function).
Exterior algebra.
F-space.
Fiber bundle.
Fibration.
Finite group.
Function composition.
Function space.
Functor.
Fundamental class.
Fundamental group.
Geometry.
H-space.
Homology (mathematics).
Homomorphism.
Homotopy category.
Homotopy group.
Homotopy.
Hurewicz theorem.
Inverse limit.
J-homomorphism.
K-theory.
Limit (mathematics).
Loop space.
Mathematical induction.
Maximal torus.
Module (mathematics).
Monoid.
Monoidal category.
Moore space.
Morphism.
Multiplication.
Natural transformation.
P-adic number.
P-complete.
Parameter space.
Permutation.
Prime number.
Principal bundle.
Principal ideal domain.
Pullback (category theory).
Quotient space (topology).
Reduced homology.
Riemannian manifold.
Ring spectrum.
Serre spectral sequence.
Simplicial set.
Simplicial space.
Special case.
Spectral sequence.
Stable homotopy theory.
Steenrod algebra.
Subalgebra.
Subring.
Subset.
Surjective function.
Theorem.
Theory.
Topological K-theory.
Topological ring.
Topological space.
Topology.
Universal bundle.
Universal coefficient theorem.
Vector bundle.
Weak equivalence (homotopy theory).
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