User:Bci2/Books/AlgebraicTopologyV1

=Algebraic Topology vol.1B=

Algebraic Topology, Category Theory and Higher Dimensional Algebra

 * Algebraic Topology
 * Table of contents


 * Main article
 * Algebraic topology
 * Group
 * Groupoid
 * Lie groupoid
 * Crossed module
 * Galois theory
 * Topology
 * Open set
 * Topological property
 * Tangent space
 * Hausdorff space
 * Metric space-Riemannian space
 * Riemannian manifold
 * Fundamental group
 * Homotopy
 * Homology (mathematics)
 * Homology group
 * Cohomology group
 * Homology theory
 * Cohomology theory
 * Homological algebra
 * Algebraic K-theory
 * Topological K-theory
 * Esquisse d'un Programme
 * Quantum theory
 * Observable
 * Wave function
 * Clifford algebra
 * Von Neumann algebra
 * Operator algebra
 * Hamiltonian
 * Schrodinger equation
 * Quantum field theory
 * Local quantum field theory
 * Algebraic quantum field theory
 * Geometrodynamics
 * Soliton-Quantum Solitons
 * Spin group
 * Quantum group
 * Quantum torus
 * Spin network
 * Spin foam
 * Twistor
 * Topological quantum field theory
 * Standard Model
 * Quantum gravity
 * Noncommutative geometry
 * Quantum geometry


 * Important Theorems in Algebraic Topology;
 * Borsuk-Ulam theorem
 * Brouwer fixed point theorem
 * Cellular approximation theorem
 * Eilenberg–Zilber theorem
 * Hurewicz theorem
 * Künneth theorem
 * Poincaré duality theorem
 * Universal coefficient theorem
 * Van Kampen's theorem
 * Whitehead's theorem
 * List of publications in mathematics


 * Supporting articles
 * Algorithm
 * Category theory
 * Algebraic category
 * Algebraic logic
 * Categorical logic
 * Category (mathematics)
 * Abelian category
 * Topos
 * Heyting algebra
 * Subobject classifier
 * Generator
 * Exact sequence
 * Pushout
 * Pullback
 * Sheaf (mathematics)
 * Limit Functor
 * Colimit
 * Yoneda lemma
 * Functor
 * Adjoint functor
 * Representable functor
 * Functor category
 * Natural equivalence
 * Natural transformation
 * Dual (category theory)
 * Isomorphism
 * Semigroup
 * Monoid
 * Higher dimensional algebra
 * Higher category theory
 * Enriched category
 * Graph theory
 * Colored graph
 * Multicategory
 * Metatheory
 * Metamathematics
 * Variety


 * Notable Algebraic Topologists and Category Theoreticians
 * Michael Atiyah
 * Nicolas Bourbaki
 * Karol Borsuk
 * Ronald Brown (mathematician)
 * Alain Connes
 * Jean Dieudonne
 * Otto Hermann Künneth
 * Charles Ehresmann
 * Samuel Eilenberg
 * Peter J. Freyd
 * Alexander Grothendieck
 * Heinz Hopf
 * Saunders Mac Lane
 * Egbert van Kampen
 * Roger Penrose
 * Grigori Perelman
 * Nicolae Popescu
 * Nicolas Rashevsky
 * Robert Rosen
 * Jean-Pierre Serre
 * J. H. C. Whitehead
 * Edward Witten