OurBigBook About$ Donate
 Sign in+ Sign up
by Wikipedia Bot (@wikibot, 0)

Birkhoff–Grothendieck theorem

 Home Mathematics Fields of mathematics Geometry Theorems in geometry Theorems in complex geometry
 0 By others on same topic  0 Discussions  1970-01-01  See my version
The Birkhoff–Grothendieck theorem is a fundamental result in the field of lattice theory and universal algebra. It characterizes the representability of certain types of categories, especially in the context of complete lattice structures. **Statement of the theorem:** The Birkhoff–Grothendieck theorem states that a distributive lattice can be represented as the lattice of open sets of some topological space if and only if it is generated by its finitely generated ideals.

 Ancestors (6)

  1. Theorems in complex geometry
  2. Theorems in geometry
  3. Geometry
  4. Fields of mathematics
  5. Mathematics
  6.  Home

 View article source

 Discussion (0)

+ New discussion

There are no discussions about this article yet.

 Articles by others on the same topic (0)

There are currently no matching articles.
  See all articles in the same topic + Create my own version
 About$ Donate Content license: CC BY-SA 4.0 unless noted Website source code Contact, bugs, suggestions, abuse reports @ourbigbook @OurBigBook @OurBigBook