Topological degree is an integer-valued signed count of preimages that is stable under suitable perturbations.
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- Antiholomorphic function
- Based rational-map moduli of sigma-model lumps
- Boundary of a Möbius band winds twice around its core
- Degree and energetic stability of a field configuration
- Degree charge of an O3 sigma-model lump
- Degree does not classify general manifold maps
- Past exam of the mathematics course of the University of Cambridge / 2002 / iii / Paper 70 / 2 / Solution
- Past exam of the mathematics course of the University of Cambridge / 2002 / iii / Paper 70 / 3 / Solution
- Past exam of the mathematics course of the University of Cambridge / 2002 / iii / Paper 70 / 4 / Solution
- Past exam of the mathematics course of the University of Cambridge / 2005 / iii / Paper 56 / 2 / Solution
- Past exam of the mathematics course of the University of Cambridge / 2007 / iii / Paper 56 / 2 / Solution
- Past exam of the mathematics course of the University of Cambridge / 2007 / iii / Paper 56 / 3 / Solution
- Past exam of the mathematics course of the University of Cambridge / 2009 / iii / Paper 49 / 3 / Solution
- Past exam of the mathematics course of the University of Cambridge / 2012 / iii / Paper 55 / 2 / Solution
- Past exam of the mathematics course of the University of Cambridge / 2015 / iii / Paper 56 / 4 / Solution
- Past exam of the mathematics course of the University of Cambridge / 2025 / iii / Paper 313 / 3 / iii / Solution
- Past exam of the mathematics course of the University of Cambridge / 2025 / iii / Paper 313 / 3 / Solution
- Past exam of the mathematics course of the University of Cambridge / 2026 / iii / Paper 313 / 2 / c / Solution
- Precomposition scales the Hopf invariant by degree
- Pullback-volume representation of a topological current
- Stereographic energy of the O3 sigma model
- Vacuum-boundary degree as a defect charge
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