Symbols:Abbreviations/G/GCH

Abbreviation: GCH

The Generalized Continuum Hypothesis can be abbreviated $\operatorname {GCH}$.

The Generalized Continuum Hypothesis is the proposition:

Let $x$ and $y$ be infinite sets.

Suppose:

$\phi_1: x \to y$ is injective

and:

$\phi_2: y \to \powerset x$ is injective

Then:

$y \sim x$ or $y \sim \powerset x$

In other words, there are no infinite cardinals between $x$ and $\powerset x$.