Definition:Symmetric Relation/Definition 2
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Definition
Let $\RR \subseteq S \times S$ be a relation in $S$.
$\RR$ is symmetric if and only if it equals its inverse:
- $\RR^{-1} = \RR$
Also see
- Results about symmetric relation can be found here.
Sources
- 1955: John L. Kelley: General Topology ... (previous) ... (next): Chapter $0$: Relations
- 1964: Steven A. Gaal: Point Set Topology ... (previous) ... (next): Introduction to Set Theory: $1$. Elementary Operations on Sets
- 1967: George McCarty: Topology: An Introduction with Application to Topological Groups ... (previous) ... (next): Chapter $\text{I}$: Sets and Functions: Relations