leanprover-community / leanprover-community/mathlib4
Redefine `Trivialization`
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t-differential-geometry
t-topology
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Description
- Redefine docs#Trivialization in terms of fiberwise maps (maps
Z → FandB → F → Zwith properties). - Define
Trivialization.toLocalHomeomorphwith docs#Trivialization.coe_fst, docs#Trivialization.source_eq, and docs#Trivialization.target_eq true by definition. - (?) Define a constructor from a
LocalHomeomorphwith extra assumptions.
See also Zulip
Contributor guide
First steps
- Read the whole issue, then the project's contributing guide.
- Comment on the issue to say you are picking it up — it saves two people doing the same work.
- Fork the repository and make your change on a branch.
- Open a pull request that references the issue number.
Research direction
Start by reading the existing docs#Trivialization API and the referenced Zulip discussion about fiber bundles. The work is done when Trivialization uses the requested fiberwise maps, toLocalHomeomorph has the listed properties by definition, and the possible LocalHomeomorph constructor is resolved.
Written by the indexing model from the issue text.
Assessment
- Domain
- devtools
- Issue type
- Refactor
- Difficulty
- 5/5
- Estimated time
- Over a week
- Activity status
- Stale
- Clarity
- Mostly clear
- Newbie friendliness
- 25/100