mathwonk's latest activity

To illustrate what a la-la land the current grading practice at Harvard inhabits, the Harvard college student handbook already defines...

Grade inflation is a problem everywhere : https://www.gradeinflation.com/ Personally, I think it's detrimental for students sense of...

That article was interesting. Some statements should be taken with salt however, e.g. the suggestion that grade inflation is related to...

I think this is a difficult problem. As a student at Harvard in the early 1960’s, when maybe 15% of grades were A’s, I got a lot of...

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...