Editing List of theorems (section)

==Manifolds and cell complexes==

*[[Atiyah–Bott fixed-point theorem]] (''[[differential topology]]'')
*[[Bing's recognition theorem]] (''[[geometric topology]]'')
*[[Mapping_class_group_of_a_surface#The_Birman_exact_sequence|Birman short exact sequence]] (''[[geometric topology]]'')
*[[Surface_(topology)#Classification_of_closed_surfaces|Classification of compact surfaces]] (''[[Topology]]'')
*[[De Rham's theorem]] (''[[differential topology]]'')
*[[Mapping_class_group_of_a_surface#The_Dehn–Nielsen–Baer_theorem|Dehn-Nielsen-Baer theorem]] (''[[geometric topology]]'')
*[[Donaldson's theorem]] (''[[differential topology]]'')
*[[Ehresmann's theorem]] (''[[differential topology]]'')
*[[Fáry–Milnor theorem]] (''[[knot theory]]'')
*[[Fenchel's theorem]] (''[[differential geometry]]'')
*[[H-cobordism theorem]] (''[[differential topology]]'')
*[[Hirzebruch signature theorem]] (''[[topology]]'', ''[[algebraic geometry]]'')
*[[Jordan–Schönflies theorem]] (''[[geometric topology]]'')
*[[JSJ decomposition|JSJ theorem]] (''[[3-manifolds]]'')
*[[Lickorish twist theorem]] (''[[geometric topology]]'')
*[[Lickorish–Wallace theorem]] (''[[3-manifolds]]'')
*[[Nielsen realization problem]] (''[[geometric topology]]'')
*[[Nielsen-Thurston classification]] (''[[low-dimensional topology]]'')
*[[Novikov's compact leaf theorem]] (''[[foliation]]s'')
*[[Geometrization_conjecture|Perelman's Geometrization theorem]] (''[[3-manifolds]]'')
*[[Poincaré–Hopf theorem]] (''[[differential topology]]'')
*[[Poincaré conjecture]] (''[[topology]]'')
*[[Preimage theorem]] (''[[differential topology]]'')
*[[Reeb sphere theorem]] (''[[foliation]]s'')
*[[Heegaard splitting|Reidemeister–Singer Theorem]] (''[[geometric topology]]'')
*[[Riemann–Roch theorem for smooth manifolds]] (''[[differential topology]]'')
*[[Rokhlin's theorem]] (''[[geometric topology]]'')
*[[S-cobordism theorem#The s-cobordism theorem|S–cobordism theorem]] (''[[differential topology]]'')
*[[Sard's theorem]] (''[[differential geometry]]'')
*[[Scott core theorem]] (''[[3-manifolds]]'')
*[[Swan's theorem]] (''[[module theory]]'')
*[[Tameness theorem]] (''[[3-manifolds]]'')
*[[Thom transversality theorem]] (''[[differential topology]]'')
*[[Hyperbolization_theorem|Thurston's geometrization theorem]] (''[[3-manifolds]]'')
*[[Heegaard splitting|Waldhausen's theorem]] (''[[geometric topology]]'')
*[[Whitney embedding theorem]] (''[[differential manifold]]s'')
*[[Whitney immersion theorem]] (''[[differential topology]]'')