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feat(topology/sheaves/*): sheaves have enough injectives under some condition

Open jjaassoonn opened this issue 3 years ago • 2 comments

  • [x] define skyscraper sheaves
  • [x] skyscraper sheaves are isomorphic to pullback of a sheaf on the single point space (not actually needed for enough invectiveness, just for completeness)
  • [x] calculate their stalks
  • [x] skyscraper sheaves are injective if targets are injective
  • [x] godement resolution
  • [x] show enough injective

  • [x] depends on:#15932
  • [x] depends on:#15496
  • [x] depends on:#15934
  • [x] depends on:#15935
  • [x] depends on:#16180

Open in Gitpod

jjaassoonn avatar Jul 28 '22 16:07 jjaassoonn

This PR originally started as defining skyscraper sheaf, but now too many things has been added, so I will move the definition of skyscraper sheaf into another branch (#15934).

jjaassoonn avatar Aug 08 '22 15:08 jjaassoonn

Are there plans to merge master and port this PR to Lean 4? It's listed as the first item in @joelriou 's AIM workshop statement.

alreadydone avatar Jun 05 '24 20:06 alreadydone