lavinia's latest activity
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Llavinia replied to the thread Undergrad About the definition of topological manifold using closed sets.One intuitive idea of defining a differentiable structure on a triangulated manifold is to embed the manifold in Euclidean space and...
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Llavinia reacted to martinbn's post in the thread Graduate Trivial fiber bundle vs product space with
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I am starting to think that the question of the thread is not about fibler bundles, but whether isomorphic objects are to be considered... -
Llavinia reacted to mathwonk's post in the thread Graduate Trivial fiber bundle vs product space with
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It seems indeed this is the usual meaning of trivial, i.e. equivalent to a product, but without a choice of trivialization. I was... -
Llavinia reacted to martinbn's post in the thread Graduate Trivial fiber bundle vs product space with
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Yes, but you giving me ##A \times B## involves a choice and is not canonical. It is the same if I gave you explicitely a vector space... -
Llavinia replied to the thread Graduate Trivial fiber bundle vs product space.What I am used to and maybe this is wrong, a trivial bundle is one for which there exists a global trivialization. But there is no need...
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Llavinia reacted to mathwonk's post in the thread Graduate Trivial fiber bundle vs product space with
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well yes. I had assumed you meant this to be an F-bundle over A, in which case those two projections give, in my opinion, one... -
Llavinia reacted to mathwonk's post in the thread Graduate Trivial fiber bundle vs product space with
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I essentially agree with you @cianfa72. i.e. technically a trivial bundle is a trivializable bundle plus a trivialization. the...