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QSR
  • Member for 9 years, 11 months
  • Last seen more than 7 years ago
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revised
triviality of a $2$-sheeted covering map and the triviality of the associated vector bundle
added 9 characters in body
asked
triviality of a $2$-sheeted covering map and the triviality of the associated vector bundle
asked
geometric conditions on maps between manifolds inducing monomorphisms on cohomology
accepted
Stiefel-Whitney class of fibre bundles
awarded
 Tumbleweed
awarded
 Nice Question
accepted
characteristic classes of tangent bundle of 2-nd unordered configuration space
accepted
triviality of Whitney sums of a vector bundle
comment
positions of regular cubes in Euclidean space with all its vertices without distinction
@AllenHatcher: Thanks, Prof. Hatcher! Is it possible to replace the cube with other polyotpes or polyhedrons $P$ such that the associated vector bundle of the cover $O(3)\to O(3)/Sym(P)$ is not orientable?
awarded
 Nice Question
asked
positions of regular cubes in Euclidean space with all its vertices without distinction
accepted
positions of a methane molecule with carbon atom at the origin
accepted
References for Stiefel-Whitney class of Stiefel manifolds and Grassmannians
comment
References for Stiefel-Whitney class of Stiefel manifolds and Grassmannians
@RyanBudney Yes, Prof. Ryan. I found that $w$ is expressed in terms of $Sq$'s and Wu class $v$ [Th. 11.14]. However, I do not know how to continue...
asked
References for Stiefel-Whitney class of Stiefel manifolds and Grassmannians
revised
triviality of Whitney sums of a vector bundle
added 9 characters in body
asked
triviality of Whitney sums of a vector bundle
suggested
Reject
positions of a methane molecule with carbon atom at the origin
comment
positions of a methane molecule with carbon atom at the origin
Thanks, Schlieper! Why we can use Poincar\'{e} duality? The Poincar\'{e} duality requires the manifold to be orientable. However, $G$ may not be orientable.
accepted
vector bundles associated to a covering space
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