Schröder–Bernstein may refer to:
*the
Schröder–Bernstein theorem In set theory, the Schröder–Bernstein theorem states that, if there exist injective functions and between the sets and , then there exists a bijective function .
In terms of the cardinality of the two sets, this classically implies that if ...
in set theory
*
Schröder–Bernstein theorem for measurable spaces The Cantor–Bernstein–Schroeder theorem of set theory has a counterpart for measurable spaces, sometimes called the Borel Schroeder–Bernstein theorem, since measurable spaces are also called Borel spaces. This theorem, whose proof is quite ea ...
*
Schröder–Bernstein theorems for operator algebras The Schröder–Bernstein theorem from set theory has analogs in the context operator algebras. This article discusses such operator-algebraic results.
For von Neumann algebras
Suppose M is a von Neumann algebra and ''E'', ''F'' are projections i ...
*
Schröder–Bernstein property A Schröder–Bernstein property is any mathematical property that matches the following pattern
: If, for some mathematical objects ''X'' and ''Y'', both ''X'' is similar to a part of ''Y'' and ''Y'' is similar to a part of ''X'' then ''X'' and ''Y ...
{{DEFAULTSORT:Schroder-Bernstein