leanprover-community / leanprover-community/mathlib4

Topological Vector Spaces

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t-analysis t-topology
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Description

Tracking issue for the state of topological vector spaces

New theory
  • Show that dualPairing is right separating by Hahn-Banach and prove the embedding and the tendsto theorem for WeakSpace
Documentation
  • Create map between mathlib and Bourbaki - TVS
Refactors
  • #11500
  • Factor out theorems about polar from Analysis.NormedSpace.Dual to new file Analysis.LocallyConvex.Dual if they hold for TVS.
  • Refactor ContinuousLinearMap theorems to ContinuousSemilinearMapClass if possible

Contributor guide

Open the contributing guide

First steps

  1. Read the whole issue, then the project's contributing guide.
  2. Comment on the issue to say you are picking it up — it saves two people doing the same work.
  3. Fork the repository and make your change on a branch.
  4. Open a pull request that references the issue number.

Research direction

Start by reading the checklist entries for dualPairing, WeakSpace, and the existing results in Analysis.NormedSpace.Dual. Review issue #11500 and the proposed Analysis.LocallyConvex.Dual refactor before choosing a scoped task. Done means completing one explicitly selected checklist item with the relevant proofs, documentation map, or refactor validated in mathlib.

Written by the indexing model from the issue text.

Assessment

Domain
tooling
Issue type
Feature
Difficulty
5/5
Estimated time
Over a week
Activity status
Stale
Clarity
Needs clarification
Newbie friendliness
25/100

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