Category:Geometric topology

• Geometric topology
• Glossary of topology
• List of geometric topology topics

2

• 2-sided

3

• 3-manifold
• 3-sphere

4

• 4-manifold

5

• 5-manifold

A

• Acylindrically hyperbolic group
• Alexander horned sphere
• Alexander's trick
• Annulus theorem

B

• Barycentric subdivision
• Bing shrinking
• Bing's recognition theorem
• Blaschke selection theorem
• Borel conjecture
• Borromean rings
• Boundary parallel
• Boy's surface
• Branched surface

C

• Casson handle
• Casson invariant
• Cellular decomposition
• Clasper (mathematics)
• Clifford torus
• Closed manifold
• Clutching construction
• Codimension
• Connected sum
• Convergence group
• Crumpled cube
• Cyclic surgery theorem

D

• De Rham invariant
• DE-9IM
• Dehn function
• Dehn twist
• Dogbone space
• Donaldson theory
• Double suspension theorem

E

• E8 manifold

F

• Fake 4-ball
• Free factor complex
• Fully irreducible automorphism
• Fundamental polygon

G

• Generalized Poincaré conjecture
• Genus (mathematics)
• Geometrization conjecture
• Gieseking manifold
• Grushko theorem

H

• Hadamard space
• Handle decomposition
• Handlebody
• Hauptvermutung
• Heegaard splitting
• Hopf fibration
• Hsiang–Lawson's conjecture

I

• I-bundle
• Intersection form (4-manifold)

K

• Kirby calculus
• Kirby–Siebenmann class
• Klein bottle

L

• L-theory
• Lantern relation
• Line of greatest slope
• Local flatness
• Loop theorem
• Low-dimensional topology

M

• Manifold decomposition
• Mapping class group
• Mapping class group of a surface
• Mapping torus
• McShane's identity
• Microbundle
• Milnor conjecture (topology)
• Milnor–Wood inequality
• Moise's theorem

N

• Nielsen realization problem
• Nielsen–Thurston classification
• Novikov conjecture

O

• Orientation character
• Outer space (mathematics)

P

• Pachner moves
• PDIFF
• Piecewise linear manifold
• Poincaré conjecture
• Pseudo-Anosov map

R

• Real projective plane
• Relative dimension
• Rokhlin's theorem
• Ropelength
• Round function

S

• Schoenflies problem
• Seifert fiber space
• Seifert surface
• Semi-s-cobordism
• Side-approximation theorem
• Signature (topology)
• Slam-dunk
• Sphere theorem (3-manifolds)
• Spherical 3-manifold
• Spherical space form conjecture
• Steenrod problem
• String topology
• Surface (topology)
• Surface bundle
• Surgery structure set
• Symplectic filling

T

• Three-torus
• Thurston boundary
• Torus bundle
• Train track map
• Triangulation (topology)
• Trigenus
• Tubular neighborhood

U

• Unknotting problem

W

• Wall's finiteness obstruction
• Whitehead link
• Whitehead manifold
• Whitehead torsion
• Whitney disk
• Wild arc

Y

• Y-homeomorphism

Z

• Zeeman conjecture