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Mar
13 |
asked | P-laplacian equation |
Feb
25 |
asked | Dumbbell shaped domain |
Jan
9 |
asked | Homology of symmetric product |
Nov
15 |
comment |
Poincaré 3-homology sphere
...but I cannot understand why in this case the Whitney embedding result doesn't work...it hold for a general smooth manifold... is a homology 3-sphere not smooth? |
Nov
14 |
awarded | Student |
Nov
14 |
asked | Poincaré 3-homology sphere |
Nov
14 |
comment |
Noncontractible domain with trivial cohomology
Clearly, I refer to the punctured Poincare' homology sphere. |
Nov
14 |
comment |
Noncontractible domain with trivial cohomology
If, for instance, I consider the Poincare' homology sphere, this is a particular 3-homology sphere (in particular not homeomorphic to the sphere) acyclic and noncontractible, thus a good example for my question. But I think I have read somewhere that this object cannot be smoothly embeded in R^4, right? How can I do in this case? Can I modify the object to have the embeding property but not changing the acyclic and the noncontractibility propreties? |
Nov
13 |
comment |
Noncontractible domain with trivial cohomology
In the other question I need a noncontractible domain with Euler characteristic equal to 1. But only now I can understand that the older question and the new are related in some sense. Sorry, I'm not strong on this subject! |
Nov
13 |
awarded | Scholar |
Nov
13 |
accepted | Noncontractible domain with trivial cohomology |
Nov
13 |
asked | Noncontractible domain with trivial cohomology |