Similar to 角谷の不動点定理

Artin reciprocity

Artin–Rees lemma

Alexander's theorem

Jordan curve theorem

Tychonoff's theorem

Ham sandwich theorem

Poincaré conjecture

Mumford's compactness theorem

Lusin's separation theorem

Lebesgue's number lemma

Rokhlin's theorem

Fixed-point theorem

Caristi fixed-point theorem

Kleene fixed-point theorem

Schauder fixed-point theorem

Nielsen theory

Banach fixed-point theorem

Poincaré–Birkhoff theorem

Borel fixed-point theorem

Markov–Kakutani fixed-point theorem

Fixed-point theorems in infinite-dimensional spaces

Lefschetz fixed-point theorem