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Algebraic Topology vol.1B
[edit]Algebraic Topology, Category Theory and Higher Dimensional Algebra
[edit]- 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