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higher-dimensional algebra
Timeline of category theory and related mathematics
Higher category theory
Ronald Brown
Lie algebroid
Double groupoid
Anabelian geometry
Noncommutative geometry
Categorical algebra
Grothendieck's Galois theory
Grothendieck topology
Topological dynamics
Categorical dynamics
Crossed module
Pseudoalgebra
Areas of application in quantum physics:
Quantum Algebraic Topology
Quantum geometry
Quantum gravity
Quantum group
Topological quantum field theory
Local quantum field theory

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