Definition:Symmetric Set/Topological Group
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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