Category:Geometric topology
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Here is a list of articles in the Geometric topology category of the Computing portal that unifies foundations of mathematics and computations using computers.
In mathematics, geometric topology is the study of manifolds and their embeddings, with representative topics being knot theory and braid groups. It has come over time to be almost synonymous with low-dimensional topology, concerning in particular objects of three or four dimensions.
Subcategories
This category has the following 7 subcategories, out of 7 total.
3
4
B
K
M
S
Pages in category "Geometric topology"
The following 127 pages are in this category, out of 127 total.
- Geometric topology (computing)
- Glossary of topology (computing)
- List of geometric topology topics (computing)
2
- 2-sided (computing)
3
- 3-manifold (computing)
- 3-sphere (computing)
4
- 4-manifold (computing)
5
- 5-manifold (computing)
A
- Acylindrically hyperbolic group (computing)
- Alexander horned sphere (computing)
- Alexander's trick (computing)
- Annulus theorem (computing)
B
- Barycentric subdivision (computing)
- Bing shrinking (computing)
- Bing's recognition theorem (computing)
- Blaschke selection theorem (computing)
- Borel conjecture (computing)
- Borromean rings (computing)
- Boundary parallel (computing)
- Boy's surface (computing)
- Branched surface (computing)
C
- Cannon–Thurston map (computing)
- Casson handle (computing)
- Casson invariant (computing)
- Cellular decomposition (computing)
- Clasper (mathematics) (computing)
- Clifford torus (computing)
- Closed manifold (computing)
- Clutching construction (computing)
- Codimension (computing)
- Connected sum (computing)
- Convergence group (computing)
- Crumpled cube (computing)
- Cyclic surgery theorem (computing)
D
- De Rham invariant (computing)
- DE-9IM (computing)
- Dehn function (computing)
- Dehn twist (computing)
- Dogbone space (computing)
- Donaldson theory (computing)
- Double suspension theorem (computing)
E
- E8 manifold (computing)
F
- Fake 4-ball (computing)
- Free factor complex (computing)
- Fully irreducible automorphism (computing)
- Fundamental polygon (computing)
G
- Generalized Poincaré conjecture (computing)
- Genus (mathematics) (computing)
- Genus-three surface (computing)
- Geometrization conjecture (computing)
- Gieseking manifold (computing)
- Grushko theorem (computing)
H
- Hadamard space (computing)
- Handle decomposition (computing)
- Handlebody (computing)
- Hauptvermutung (computing)
- Heegaard splitting (computing)
- Hopf fibration (computing)
- Hsiang–Lawson's conjecture (computing)
I
- I-bundle (computing)
- Intersection form (4-manifold) (computing)
- Introduction to 3-Manifolds (computing)
K
- Kirby calculus (computing)
- Kirby–Siebenmann class (computing)
- Klein bottle (computing)
L
- L-theory (computing)
- Lantern relation (computing)
- Line of greatest slope (computing)
- Local flatness (computing)
- Loop theorem (computing)
- Low-dimensional topology (computing)
M
- Manifold decomposition (computing)
- Mapping class group (computing)
- Mapping class group of a surface (computing)
- Mapping torus (computing)
- McShane's identity (computing)
- Microbundle (computing)
- Milnor conjecture (topology) (computing)
- Milnor–Wood inequality (computing)
- Moise's theorem (computing)
N
- Nielsen realization problem (computing)
- Nielsen–Thurston classification (computing)
- Novikov conjecture (computing)
O
- Orientation character (computing)
- Outer space (mathematics) (computing)
P
- Pachner moves (computing)
- PDIFF (computing)
- Piecewise linear manifold (computing)
- Poincaré conjecture (computing)
- Pseudo-Anosov map (computing)
R
- Real projective plane (computing)
- Relative dimension (computing)
- Rokhlin's theorem (computing)
- Ropelength (computing)
- Round function (computing)
S
- Schoenflies problem (computing)
- Seifert fiber space (computing)
- Seifert surface (computing)
- Semi-s-cobordism (computing)
- Side-approximation theorem (computing)
- Signature (topology) (computing)
- Slam-dunk (computing)
- Sphere theorem (3-manifolds) (computing)
- Spherical 3-manifold (computing)
- Spherical space form conjecture (computing)
- Steenrod problem (computing)
- String topology (computing)
- Surface (topology) (computing)
- Surface bundle (computing)
- Surgery structure set (computing)
- Symplectic filling (computing)
T
- Three-torus (computing)
- Thurston boundary (computing)
- Torus bundle (computing)
- Train track map (computing)
- Triangulation (topology) (computing)
- Trigenus (computing)
- Tubular neighborhood (computing)
U
- Unknotting problem (computing)
W
- Wall's finiteness obstruction (computing)
- Whitehead link (computing)
- Whitehead manifold (computing)
- Whitehead torsion (computing)
- Whitney disk (computing)
- Wild arc (computing)
Y
- Y-homeomorphism (computing)
Z
- Zeeman conjecture (computing)