[Merged by Bors] - feat(topology/vector_bundle): redefine continuous coordinate change #14462
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| def continuous_transitions (e : local_equiv (B × F) (B × F)) : Prop := | ||
| ∃ s : set B, e.source = s ×ˢ (univ : set F) ∧ e.target = s ×ˢ (univ : set F) |
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Can't you remove this definition now?
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I can, my impression from @hrmacbeth was that she still wanted to use it. I'll delete it in a later PR if that is false.
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Also, I don't think the PR description is accurate wrt |
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…14462) * For any two trivializations, we define the coordinate change between the two trivializations: continous linear automorphism of `F`, defined by composing one trivialization with the inverse of the other. This is defined for any point in the intersection of their base sets, and we define it to be the identity function outside this set. * Redefine `topological_vector_bundle`: we now require that this coordinate change between any two trivializations is continuous on the intersection of their base sets. * Redefine `topological_vector_prebundle` with the existence of a continuous linear coordinate change function. * Simplify the proofs that the coordinate change function is continuous for constructions on vector bundles.
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…14462) * For any two trivializations, we define the coordinate change between the two trivializations: continous linear automorphism of `F`, defined by composing one trivialization with the inverse of the other. This is defined for any point in the intersection of their base sets, and we define it to be the identity function outside this set. * Redefine `topological_vector_bundle`: we now require that this coordinate change between any two trivializations is continuous on the intersection of their base sets. * Redefine `topological_vector_prebundle` with the existence of a continuous linear coordinate change function. * Simplify the proofs that the coordinate change function is continuous for constructions on vector bundles.
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F, defined by composing one trivialization with the inverse of the other. This is defined for any point in the intersection of their base sets, and we define it to be the identity function outside this set.topological_vector_bundle: we now require that this coordinate change between any two trivializations is continuous on the intersection of their base sets.topological_vector_prebundlewith the existence of a continuous linear coordinate change function.Zulip thread