Category:位相幾何学の定理

Brouwer fixed-point theorem

Jordan curve theorem

Lebesgue's number lemma

Borsuk–Ulam theorem

Mumford's compactness theorem

Lusin's separation theorem

Rokhlin's theorem

Alexander's theorem

Kakutani fixed-point theorem

Tychonoff's theorem

Ham sandwich theorem

Poincaré conjecture