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[Merged by Bors] - feat(geometry/manifold/tangent_bundle): the tangent_bundle is a topological_vector_bundle #8295

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@Nicknamen Nicknamen commented Jul 13, 2021


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This PR changes the underlying structure of the tangent bundle from a fiber bundle to a vector bundle.

@Nicknamen Nicknamen added the WIP Work in progress label Jul 13, 2021
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@Nicknamen Nicknamen requested a review from sgouezel July 13, 2021 14:25
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coord_change_self := λ i x hx v, rfl,
coord_change_comp := λ i j k x hx v, rfl,
coord_change_smooth := λ i j, times_cont_diff_snd.times_cont_diff_on }

namespace basic_smooth_bundle_core
namespace basic_smooth_vector_bundle_core
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It looks like this change of name, together with the renaming of to_topological_fiber_bundle_core to to_topological_vector_bundle_core contribute substantially to the diff in this PR.

Would it be possible to split this PR so that the proposed name changes happen first and then we can review the proposed new material second?

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The name changes reflect the changes in the content of the code. What is implemented now is a fiber bundle and what is implemented in the PR is a vector bundle. If I do as you say after the first PR a fiber bundle will be called a vector bundle. If for some reason the later changes are not approved or it takes a long time to approve them, is it fine to have this name discrepancy in Mathlib for a while?

Does it help if I point out with comments where the code actually changes apart from renamings and adding lemmas to simps? I believe there are very few points where the code properly changes

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I see, sorry I should have looked more closely.

Does this not mean that we are losing basic_smooth_bundle_core then?

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It does but I guess @sgouezel is ok with it? The idea is that this construction should be useful precisely to build the tangent bundle whereas a more general smooth_fiber_bundle_core and smooth_vector_bundle_core should be used in other situations. If smooth_fiber_bundle_core will be needed again it will be easy to bring it back in by all means!

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Could you also update the PR message?

@PatrickMassot PatrickMassot added awaiting-review The author would like community review of the PR and removed awaiting-author A reviewer has asked the author a question or requested changes labels Mar 4, 2022
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Sorry, I was planning to do the changes myself today, but I understand not much time should pass between the reviews/merges and the changes

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sgouezel commented Mar 7, 2022

bors r+
Thanks!

@github-actions github-actions bot added ready-to-merge All that is left is for bors to build and merge this PR. (Remember you need to say `bors r+`.) and removed awaiting-review The author would like community review of the PR labels Mar 7, 2022
bors bot pushed a commit that referenced this pull request Mar 7, 2022
…pological_vector_bundle` (#8295)

Co-authored-by: Patrick Massot <patrickmassot@free.fr>
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bors bot commented Mar 7, 2022

Pull request successfully merged into master.

Build succeeded:

@bors bors bot changed the title feat(geometry/manifold/tangent_bundle): the tangent_bundle is a topological_vector_bundle [Merged by Bors] - feat(geometry/manifold/tangent_bundle): the tangent_bundle is a topological_vector_bundle Mar 7, 2022
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@bors bors bot deleted the vector_tangent_bundle branch March 7, 2022 12:03
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5 participants