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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