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

Behnke–Stein theorem on Stein manifolds

 Home Mathematics Fields of mathematics Algebraic geometry Algebraic curves Riemann surfaces
 0 By others on same topic  0 Discussions  1970-01-01  See my version
The Behnke-Stein theorem is an important result in the theory of several complex variables, specifically concerning Stein manifolds. A Stein manifold is a type of complex manifold that generalizes certain properties of affine varieties and has favorable properties for complex analysis. The Behnke-Stein theorem states that: - A Stein manifold is holomorphically convex. This means that the set of holomorphic functions defined on the manifold can be used to separate points and provide control over compact sets.

 Ancestors (6)

  1. Riemann surfaces
  2. Algebraic curves
  3. Algebraic 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