mathwonk's latest activity

I am starting to think that the question of the thread is not about fibler bundles, but whether isomorphic objects are to be considered...

It seems indeed this is the usual meaning of trivial, i.e. equivalent to a product, but without a choice of trivialization. I was...

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...

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...

Yes however, even if diffeomorphic to a product, there is no canonical/natural diffeomorphism. That's the difference with a product that...

A choice of a product decomposition of a topological space that is homeomorphic to a Cartesian product AxF naturally supplies a...

I essentially agree with you @cianfa72. i.e. technically a trivial bundle is a trivializable bundle plus a trivialization. the...

yes thank you. I probably should have said k = real numbers in my discussion above.

Given any (finite dimensional) vector space V, it has a dual space V* consisting of linear functions f:V-->k, where k is the field of...

Yes. If the question referred to the center of mass of a hemispherical shell, (embedded in 3 -space), then since as I believe...

I hope from the comments here it is ok to post a solution. this can be done by noting that, (just as one gets a solid 3 ball by...

Here is what I learned from reading Riemann. Recall the Riemann- Roch theorem is a formula for the vector dimension of the space L(D) of...

@martinbn: Riemann's original discussion is reproduced on pages 105-108 of: the dover reprint of Riemann’s works in the original...

Your method and your result in the original post are correct because every partial differential equation that only involves derivatives...

I think vela hit the nail on the head. Becoming educated, i.e. learning to understand something, is for me a long, difficult process...