45

Topology

The study of properties of a geometric object that are preserved under continuous deformations.

Theories

2

Theory of Topology

Topology

Theorems

28

Euler's Polyhedron Formula

Brouwer Fixed-Point Theorem

Tychonoff's Theorem

Baire Category Theorem

Urysohn's Lemma

Jordan Curve Theorem

Borsuk–Ulam Theorem

Tietze Extension Theorem

Hairy Ball Theorem

Lefschetz Fixed-Point Theorem

Alexander Duality

Seifert–van Kampen Theorem

Invariance of Domain

Whithead Theorem

Alexander's Subbase Theorem

Jordan–Schönflies Theorem

Brown Fixed-Point Theorem

Smale's H-Cobordism Theorem

Noether's Theorem (Topology)

Nagata–Smirnov Metrization Theorem

Simply Connectedness of S^n

Hurewicz Theorem

Poincaré Conjecture (Theorem)

Mostow Rigidity Theorem

Dold–Thom Theorem

Freudenthal Suspension Theorem

Generalized Poincaré Conjecture

Novikov Conjecture