Definition:Composition of Subsets of Topological Group

Definition

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

Let $A, B \subseteq G$.

We define the composition $A \odot B$ by:

$A \odot B = \set {a \odot b : a \in A, \, b \in B}$

Also see

• Definition:Subset Product

Sources

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