Alexander horned sphere information

The Alexander horned sphere is a pathological object in topology discovered by J. W. Alexander (1924). The Alexander horned sphere is the particular embedding...

3-sphere Affine sphere Alexander horned sphere Celestial spheres Curvature Directional statistics Dyson sphere Gauss map Hand with Reflecting Sphere, M.C. Escher...

1971. The Alexander's Chimney, in the Rocky Mountain National Park, is named after him. Alexander horned sphere Alexander polynomial Alexander cochain Alexander–Spanier...

Euclidean space Cross-cap Boy's surface Roman surface Steiner surface Alexander horned sphere Klein bottle Mapping class group Dehn twist Nielsen–Thurston classification...

because it retracts onto the unit sphere, the Alexander horned sphere is a subset of R3 homeomorphic to a sphere, but so twisted in space that the unbounded...

inference to get a quick impression of the flavor of that subject. Alexander horned sphere All horses are the same color Cantor function Cantor set Checking...

earring Long line (topology) Rose (topology) Alexander horned sphere − A particular embedding of a sphere into 3-dimensional Euclidean space. Antoine's...

systems, the Cantor tree is an infinite-genus surface homeomorphic to a sphere with a Cantor set removed. The blooming Cantor tree is a Cantor tree with...

dimensions, that is, for surfaces. However, as the example of Alexander horned sphere shows, there are wild embeddings among 3-manifolds, so this property...

is irreducible: all smooth 2-spheres in it bound balls. On the other hand, Alexander's horned sphere is a non-smooth sphere in R 3 {\displaystyle \mathbb...

dimensions. In three dimensions there are counterexamples such as Alexander's horned sphere. Although they separate space into two regions, those regions...

Two-Horned One") is believed by the majority of modern researchers of the Qur'an as well as Islamic commentators to be a reference to Alexander. The...

mathematician who discovered Antoine's necklace, which J. W. Alexander used to construct Antoine's horned sphere. He lost his eyesight in the first World War, at...

Great Dionysiak Myth, 1877, ii.127. "Kronos signifies 'the Horned one'", the Rev. Alexander Hislop had previously asserted in The Two Babylons; or, The...

without shoulders. Then as these fragmentary structures met, there were seen horned heads on human bodies, bodies of oxen with human heads, and figures of double...

Scorpio) ΤΟΞΟΤΗΣ (Toxotes [Archer], Sagittarius) ΑΙΓΟΚΕΡΩΣ (Aigokeros [Goat-horned], Capricorn) ΥΔΡΟΧΟΟΣ (Hydrokhoos [Water carrier], Aquarius) ΙΧΘΥΕΣ (Ichthyes...

people domesticated many animals, including the donkey and a small screw-horned goat which was common from Algeria to Nubia. Between 10,000 and 9,000 BC...

BLIT (short story) Cikavac Cockatrice Colo Colo (mythology) Lernaean Hydra Horned Serpent Roko's basilisk Snallygaster Titanoboa The Book of the Dun Cow Harry...

group must pass through a valley with the Horned King's war band, Eilonwy rides with Taran and leaps at the Horned King to try to protect him. When Taran...

helm-plate press from Torslunda depicts a scene of a one-eyed warrior with bird-horned helm, assumed to be Odin, next to a wolf-headed warrior armed with a spear...

Alexander Alexandrovich Zinoviev (Russian: Алекса́ндр Алекса́ндрович Зино́вьев; October 29, 1922 – May 10, 2006) was a Soviet philosopher, writer, sociologist...