Definition:Symmetric Set/Topological Group

Definition

Let $\struct {G, \odot, \tau}$ be a topological group.

Let $A \subseteq G$.

We say that $A$ is symmetric if and only if:

$A = A^{-1}$

where $A^{-1}$ is the inverse of $A$.

Sources

• 2014: Loukas Grafakos: Classical Fourier Analysis (3rd ed.) ... (previous) ... (next): $1.1.2$: Examples of Topological Groups