Category:Geometric topology

**geometric topology**
	study of manifolds and maps between them, particularly embeddings of one manifold into another
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	Wikipedia
Instance of	area of mathematics;
Part of	topology;
Different from	low-dimensional topology;
Authority file
	Q1939186;
	Reasonator; Scholia; Wikidocumentaries; PetScan; statistics; WikiMap; Locator tool; KML file; Search depicted;

Subcategories

This category has the following 9 subcategories, out of 9 total.

3

3-manifolds‎ (2 C, 89 F)

4

4-manifolds‎ (1 C)

A

Analytic continuation‎ (16 F)

B

Borromean rings‎ (10 C, 24 F)
Boy's surface‎ (1 P, 61 F)

F

Fundamental polygon‎ (1 P, 19 F)

L

Lakes of Wada‎ (5 F)

S

Seifert surfaces‎ (7 F)
Surfaces‎ (49 C, 2 P, 242 F)

Media in category "Geometric topology"

The following 166 files are in this category, out of 166 total.

Annulus.circle.bijective-projection.png 242 × 242; 1 KB
Annulus.circle.nulhomotopic.png 242 × 242; 1 KB
Annulus.circle.pi 1-injective.png 242 × 242; 2 KB
Apéry Cuboctahedron Eversion.webm 2 min 49 s, 1,920 × 1,080; 40.5 MB
Archimedean Nanotube.jpg 4,608 × 3,456; 5.51 MB
Bednorz Sphere Eversion of Earth.webm 1 min 25 s, 1,080 × 1,080; 24.96 MB
Belted Deltoidal Hexecontahedron.jpg 3,406 × 2,905; 1.46 MB
Belted Dodecahedron.jpg 3,214 × 2,714; 1.31 MB
Belted Multicrown Cube.jpg 2,755 × 2,708; 1.05 MB
Belted Multicrown Octahedron.jpg 2,968 × 2,794; 1.15 MB
Belted Multicrown Tetrahedron.jpg 4,608 × 3,456; 5.66 MB
Belted Multicrown Triangle.jpg 2,742 × 2,312; 704 KB
Belted Polyhedra.jpg 1,902 × 1,251; 542 KB
Belted Rhombic Deltahedron.jpg 2,805 × 2,610; 960 KB
Belted Tetrahedron and Cube.jpg 3,644 × 2,272; 1.32 MB
Cell Shading.png 320 × 320; 29 KB
Cinquefoil Knot.jpg 1,303 × 1,336; 183 KB
Circle-surgery.svg 374 × 170; 7 KB
CkMove.png 614 × 245; 2 KB
Complimentary Handle.jpg 500 × 371; 227 KB
Cork Screw Nanotube.jpg 2,633 × 1,339; 698 KB
Cresent Dodecahedron.jpg 937 × 927; 250 KB
Crinkled Dodecahedron by Albert P. Carpenter.jpg 994 × 1,000; 783 KB
Crinkled Dodecahedron.jpg 1,024 × 959; 711 KB
Crinkled Truncated Icosahedron.jpg 1,000 × 973; 835 KB
Crossing change example.gif 1,200 × 1,136; 3.01 MB
Crown Great Rhombicosidodecahedron.jpg 4,608 × 3,456; 5.52 MB
Crown Nanotubes.jpg 4,608 × 3,456; 5.64 MB
Crown Polyhedra 2.jpg 4,608 × 3,456; 5.48 MB
Crown Polyhedra.jpg 3,021 × 1,078; 649 KB
Crown Tetrahedron.jpg 4,608 × 3,456; 5.51 MB
Crown Truncated Icosahedron.jpg 4,608 × 3,456; 5.5 MB
Crown Truncated Octahedron.jpg 4,608 × 3,456; 5.52 MB
DE-9IM-logoSmall.png 976 × 862; 210 KB
De9im05.png 100 × 100; 26 KB
De9im06.png 100 × 100; 29 KB
De9im07.png 100 × 100; 25 KB
De9im08.png 100 × 100; 30 KB
De9im09.png 100 × 100; 28 KB
De9im10.png 100 × 100; 31 KB
De9im11.png 100 × 100; 24 KB
De9im12.png 100 × 100; 30 KB
De9im13.png 100 × 100; 22 KB
Dehn Twist Animation.webm 8.2 s, 450 × 278; 192 KB
Dehn twist for the torus.png 1,024 × 768; 98 KB
Dehn twist homeomorphism.png 920 × 300; 55 KB
Dehn twist induced isomorphism.png 1,024 × 768; 62 KB
Dehn twist.png 284 × 274; 6 KB
Dodecahedral cunehdra and dodecahedra assembly.jpg 1,060 × 912; 168 KB
Dodecahedron, Cube and Tetrahedron.jpg 4,608 × 3,456; 5.59 MB
DormanLuke.png 682 × 324; 14 KB
DormanLuke.svg 502 × 235; 19 KB
Dunce hat animated.gif 150 × 150; 780 KB
Einfache geschlossene Kurven auf einer Fläche.jpg 1,647 × 840; 170 KB
Evshort2.webm 4 min 32 s, 1,920 × 1,080; 35.76 MB
Evshort3.ogv 4 min 32 s, 1,920 × 1,080; 63.24 MB
Flying Tetrahedron.jpg 4,608 × 3,456; 5.54 MB
Foil Crown Cuboctahedron 3.jpg 4,608 × 3,456; 5.29 MB
Foil Dodecahedron.jpg 467 × 451; 50 KB
Foiled Crown Cuboctahedron.jpg 4,608 × 3,456; 5.59 MB
Fox-Artin (large).png 724 × 169; 27 KB
Fox-Artin.png 228 × 53; 7 KB
Fundamental parallelogram.png 476 × 346; 13 KB
General Dehn twist on a surface.png 876 × 536; 52 KB
Genus 11 Handle.jpg 500 × 472; 283 KB
Habiro12moves.png 500 × 819; 4 KB
HabiroConvensions.png 477 × 373; 4 KB
HabiroReplacements.png 510 × 262; 3 KB
HabiroWiki-5.png 390 × 137; 1 KB
Heptacyclic Handle (2) Knotted Mobius strip (7).jpg 500 × 241; 174 KB
Heptacyclic Handle (left) Knotted Mobius strip (right).jpg 500 × 250; 171 KB
Hexacyclic Handle (left) Knotted Mobius strip (5) (right).jpg 500 × 270; 177 KB
Hexacyclic Handle (left) Pentafoil Mobius strip (right).jpg 500 × 250; 170 KB
Klein Cube.jpg 658 × 650; 125 KB
Knotted Mobius strip (6).jpg 500 × 466; 298 KB
Knotted Mobius Strip 1.jpg 500 × 456; 310 KB
Knotted Mobius strip 3.jpg 500 × 439; 303 KB
Lag-stereog-proj.png 1,027 × 903; 44 KB
Laguerre-2d3d-model.png 1,084 × 539; 31 KB
Laguerre-axiome.png 952 × 916; 33 KB
Laguerre-min-model.png 1,003 × 823; 30 KB
Laguerre-par.png 1,107 × 978; 62 KB
LanternRelation.svg 260 × 260; 11 KB
Lens100.jpg 600 × 450; 133 KB
Lickorish Twist Theorem.svg 575 × 175; 11 KB
Link (2).jpg 500 × 457; 295 KB
Manifold zahyou1.png 192 × 184; 5 KB
Meso Porous Octahedron.jpg 4,608 × 3,456; 5.67 MB
Minimax Sphere Eversion.webm 2 min 14 s, 1,080 × 1,080; 92.21 MB
Mobius Strip by Albert P. Carpenter.jpg 4,608 × 3,456; 5.55 MB
Mobius Strips 3.jpg 458 × 260; 31 KB
Mobius Strips 4.jpg 348 × 463; 40 KB
Mobius Strips.jpg 4,608 × 3,456; 5.58 MB
Monocyclic Mobius Strip.jpg 500 × 445; 303 KB
Monocyclic Torus (2).jpg 500 × 444; 281 KB
Monocyclic Torus (3).jpg 500 × 472; 270 KB
Monocyclic Torus 1.jpg 500 × 465; 303 KB
Morin Denner Cuboctahedron Eversion.webm 2 min 49 s, 1,920 × 1,080; 32.2 MB
Morin-a.pdf 750 × 750; 350 KB
Morin-a.png 360 × 360; 45 KB
Morin-b.pdf 750 × 693; 229 KB
Morin-b.png 360 × 332; 37 KB
Morin-c.pdf 750 × 750; 242 KB
Morin-c.png 360 × 360; 41 KB
Multicrown Cuboctahedron.jpg 4,608 × 3,456; 5.59 MB
Multicrown Hexagon.jpg 4,608 × 3,456; 5.63 MB
Multicrown Pentagon.jpg 4,608 × 3,456; 5.58 MB
Nanotubular Tetrahedron.jpg 4,608 × 3,456; 5.54 MB
Normal surface.png 1,953 × 902; 59 KB
Overtwisted contact structure.png 1,024 × 768; 101 KB
Penta Flake Crown Icosidodecahedron.jpg 957 × 905; 224 KB
Pentacyclic Handle (left) Knotted Mobius Strip (4) (right).jpg 500 × 250; 157 KB
Plan projectif recollement.svg 150 × 150; 4 KB
Plumbing disk bundles.jpg 2,290 × 1,714; 368 KB
Podaria.png 596 × 582; 11 KB
Poincare conjecture.jpg 816 × 416; 75 KB
Pomnik Butelki Kleina w Zamościu.JPG 2,858 × 1,963; 2.69 MB
Prj geom RU.svg 680 × 400; 7 KB
Proj geom1.PNG 549 × 289; 12 KB
Proj geom1ru.svg 900 × 430; 8 KB
Pxs1splittedbis.PNG 559 × 362; 7 KB
Regularization qtl1.svg 720 × 360; 14 KB
Ring Star Tetrahedron.jpg 973 × 935; 296 KB
Ringed Crown Cuboctahedron.jpg 2,031 × 2,011; 894 KB
Ringed Rhombicuboctahedron.jpg 625 × 607; 125 KB
Ringed Snub Tetrahedron, Cube and Dodecahedron.jpg 1,443 × 749; 270 KB
Ringed Truncated Octahedron.jpg 2,797 × 2,532; 1.03 MB
SenoTopológico.svg 4,310 × 2,300; 2 KB
Sierpinski pyramid 5th step animated.gif 500 × 392; 1.27 MB
Sinusoida warszawska.jpg 1,000 × 500; 109 KB
Skew Crown Polyhedra.jpg 4,608 × 3,456; 5.56 MB
Sphere eversion topological event D1.webm 17 s, 1,080 × 1,080; 1.12 MB
Sphere eversion topological event Q.webm 17 s, 1,080 × 1,080; 1.72 MB
Sphere eversion topological events D0 and D2.webm 17 s, 1,080 × 1,080; 1.17 MB
Sphere eversion topological events T+ and T-.webm 17 s, 1,080 × 1,080; 1.03 MB
Sphere-eversion.webm 9 min 16 s, 1,920 × 1,080; 55.11 MB
Sphere-surgery1.png 381 × 375; 11 KB
Sphere-surgery2.png 440 × 380; 9 KB
Standard contact structure r 3.png 640 × 480; 142 KB
Star and Ring Tetrahedron.jpg 752 × 829; 179 KB
Star Crown Icosidodecahedron.jpg 2,373 × 2,394; 1.28 MB
Star Dodecahedron and Concave Star Cube.jpg 601 × 341; 49 KB
Star Dodecahedron.jpg 766 × 739; 163 KB
Star Flake Handle (left) Knotted Mobius strip with Link (right).jpg 500 × 283; 172 KB
Star Mobius strip (Side View).jpg 500 × 428; 223 KB
Star Mobius strip (Top View).jpg 500 × 487; 313 KB
Star Mobius Strip 2.jpg 500 × 464; 337 KB
Star Mobius Strip.jpg 4,608 × 3,456; 5.56 MB
Star Nanotube.jpg 1,617 × 2,202; 597 KB
Surface with path of greatest slope.png 431 × 306; 123 KB
Syndimensional Polyhedra.jpg 4,831 × 1,901; 1.39 MB
Tetracyclic Handle (left) Knotted Mobius Strip 2 (right).jpg 500 × 246; 154 KB
Thurston Sphere Eversion.webm 1 min 49 s, 1,080 × 1,080; 14.11 MB
Tore.svg 150 × 150; 4 KB
Trefoil Knot.gif 128 × 128; 397 KB
Trefoil Knot.jpg 1,390 × 1,194; 170 KB
Trefoil valknut.png 3,600 × 2,400; 3.84 MB
Trefoil.png 3,600 × 2,400; 5.57 MB
Trideca Handle (1).jpg 500 × 496; 288 KB
Trideca Handle (2).jpg 500 × 460; 270 KB
Tridecacyclic Handle (left) Link (1) (right).jpg 500 × 238; 157 KB
Twist homeomorphism of an annulus.png 630 × 300; 39 KB
Two coordinate charts on a manifold.svg 350 × 280; 4 KB
Two Dodecahedra.jpg 3,819 × 2,306; 1.17 MB
Warsaw sinusoid.svg 900 × 600; 14 KB
Zig Zag Square, Pentagon, Hexagon and Octagon.jpg 4,608 × 3,456; 5.63 MB

Category:Geometric topology

Subcategories

3

4

A

B

F

L

S

Media in category "Geometric topology"

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