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Geometric topology

Table of contents

3-manifolds

(−2,3,7) pretzel knot

Berge knot

Compression body

Dehn's lemma

Ehrenpreis conjecture

Ending lamination theorem

Finite type invariant

Geometric topology (object)

Hantzsche–Wendt manifold

Horosphere

Hyperbolic 3-manifold

Hyperbolic Dehn surgery

Hyperbolic link

Incompressible surface

JSJ decomposition

Kleinian group

Lens space

Meyerhoff manifold

Normal surface

P2-irreducible manifold

Picard horn

Pleated surface

Pretzel link

Prime decomposition of 3-manifolds

Property P conjecture

Ricci flow

Scott core theorem

Seifert–Weber space

Smith conjecture

Solid Klein bottle

Solid torus

Surface bundle over the circle

Surface subgroup conjecture

The geometry and topology of three-manifolds

Thurston elliptization conjecture

Virtually Haken conjecture

Virtually fibered conjecture

Weeks manifold

4-manifolds

Algebraic surfaces

Complex surfaces

Capped grope

Exotic R4

Seiberg–Witten invariants

Taubes's Gromov invariant

Maps of manifolds

Riemannian submersion

Submersion (mathematics)

2-sided

3-manifold

4-manifold

5-manifold

Alexander's trick

Alexander horned sphere

Annulus theorem

Bing's recognition theorem

Bing shrinking

Blaschke selection theorem

Borromean rings

Boundary parallel

Boy's surface

Branched surface

Casson handle

Casson invariant

Cellular decomposition

Clifford torus

Crumpled cube

Dehn twist

Dogbone space

Double suspension theorem

E8 manifold

Fake 4-ball

Geometrization conjecture

Gieseking manifold

Handle decomposition

Heegaard splitting

Hsiang–Lawson's conjecture

I-bundle

Intersection form of a 4-manifold

Introduction to 3-Manifolds

JTS Topology Suite

Kirby calculus

Klein bottle

Lantern relation

List of geometric topology topics

Loop theorem

Manifold decomposition

Mapping class group

McShane's identity

Moise's theorem

Nielsen realization problem

Nielsen–Thurston classification

PDIFF

Piecewise linear manifold

Poincaré conjecture

Real projective plane

Ropelength

Seifert fiber space

Side-approximation theorem

 Ancestors (4)

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