leanprover-community / leanprover-community/lean-liquid
Tensor product of condensed modules
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- Lean
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Description
If 𝒜 is a concrete monoidal abelian category, show that sheaves with values in 𝒜 also form a monoidal abelian category. Prove the tensor-hom adjunction.
In fact, we only need to be able to tensor a condensed abelian group with an ordinary abelian group. This is easier: it can be done componentwise.
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First steps
- Read the whole issue, then the project's contributing guide.
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Research direction
Start by locating the condensed sheaf and tensor-related definitions in the repository; the issue names no files or tests. Read the existing componentwise constructions and determine what theorem statements and verification tests are needed for the monoidal structure and tensor-hom adjunction to be complete.
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