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Algebraic Topology vol.1B

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Algebraic Topology, Category Theory and Higher Dimensional Algebra

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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