If a 3-manifold has trivial fundamental group and the homology groups of the 3-sphere, is it necessarily homeomorphic to the 3-sphere? (855 hits)
Category: Science & EnvironmentalRating: 1 on 17 reviews (Rate this item) (V)
Submitted by <dethcow.at.hotmail.com> (View user info) at 2005-02-17 18:37:21 EST
Probably.
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Submitted by simple_catalyst (user info) at 2009-04-23 05:04:45 EDT (#)
Ranking: 2
I'm totally writing this on my top. final.
Submitted by Socialist_Joe (user info) at 2005-02-18 02:53:37 EST (#)
Ranking: -2
god damn retards
Submitted by Phallic_Cymbals (user info) at 2005-02-18 02:45:21 EST (#)
Ranking: 2
No, fuck YOU!
Submitted by chain (user info) at 2005-02-18 00:33:28 EST (#)
Ranking: 2
we couldn't get away with this being well liked
Submitted by electrictoothsyndrome (user info) at 2005-02-18 00:18:11 EST (#)
Ranking: -2
"And if ever the suspicion of their manifold being dawns upon men of unusual powers and of unusually delicate perceptions, so that, as all genius must, they break through the illusion of the unity of the personality and perceive that the self is made up of a bundle of selves, they only have to say so and at once the majority puts them under lock and key, calls science to aid, establishes schizomania and protects humanity from the necessity of hearing the cry of truth from the lips of these unfortunate persons. Why then waste words, why utter a thing that every thinking man accepts as self-evident, when the mere utterance of it is a breach of taste? A man, therefore, who gets so far as making the supposed unity of the self two-fold is already almost a genius, in any case a most exceptional and interesting person. In reality, however, every ego, so far from being a unity is in the highest degree a manifold world, a constellated heaven, a chaos of forms, of states and stages, of inheritances and potentialities. It appears to be a necessity as imperative as eating and breathing for everyone to be forced to regard this chaos as a unity and to speak of his ego as though it were a one-fold and clearly detached and fixed phenomenon. Even the best of us shares this delusion."
- From Steppenwolf by Hermann Hesse.
Submitted by Kent_Weirdo (user info) at 2005-02-18 00:17:11 EST (#)
Ranking: 2
Good and different.
Submitted by dethcow (user info) at 2005-02-18 00:04:52 EST (#)
Ranking: 0
Submitted by garcon_fou (user info) at 2005-02-17 23:53:16 (#)
Ranking: 2
Yeah. Perelman's the man.
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Yes... most people don't realize that he invented oxygen, while juggling flaming chainsaws, no less!
Perelman IS the man.
Submitted by garcon_fou (user info) at 2005-02-17 23:53:16 EST (#)
Ranking: 2
Yeah. Perelman's the man.
Submitted by Feijuada (user info) at 2005-02-17 22:11:03 EST (#)
Ranking: 2
What about 8-spheres and gate jumps?
Submitted by TheSpook (user info) at 2005-02-17 19:32:08 EST (#)
Ranking: 0
I cracked the manifold in 2 cars.
Submitted by Jarvis (user info) at 2005-02-17 19:30:30 EST (#)
Ranking: 2
+2 because I'm on narcotics
Submitted by ellsmall (user info) at 2005-02-17 18:58:49 EST (#)
Ranking: 2
Submitted by dethcow (user info) at 2005-02-17 18:49:19 (#)
Ranking: 0
Submitted by ellsmall (user info) at 2005-02-17 18:44:11 (#)
Ranking: 0
Did you mean "homomorphic" or "homoerotic"?
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Homeomorphic is similar to "equivalent" in a topological sense... but why say "equivalent" when you can say "homeomorphic"?
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Yea, but "homeoerotic" wouldn't be very funny would it?
+2
Submitted by dethcow (user info) at 2005-02-17 18:49:19 EST (#)
Ranking: 0
Submitted by ellsmall (user info) at 2005-02-17 18:44:11 (#)
Ranking: 0
Did you mean "homomorphic" or "homoerotic"?
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Homeomorphic is similar to "equivalent" in a topological sense... but why say "equivalent" when you can say "homeomorphic"?
Submitted by ellsmall (user info) at 2005-02-17 18:44:11 EST (#)
Ranking: 0
Did you mean "homomorphic" or "homoerotic"?
Submitted by Jo_of_the_golden_P (user info) at 2005-02-17 18:43:46 EST (#)
Ranking: 2
Yeah, I think you're right.
-2 die
<3
Submitted by lordofthedance (user info) at 2005-02-17 18:43:09 EST (#)
Ranking: 2
Yes. Yes it is. Though I think the driveshaft is stuck. I'm not sure.
Submitted by dethcow (user info) at 2005-02-17 18:41:11 EST (#)
Ranking: 2
On a related note, this guy told me his meat-manifold was homeomorphic to your mother's ass.