Definition:Set Equivalence/Also denoted as

Set Equivalence: Also denoted as

Some sources use $S \simeq T$ or $S \approx T$ instead of $S \sim T$ to denote equivalence.

Other notations for $S \sim T$ include:

$S \mathrel {\operatorname {Eq} } T$

$\map {\mathrm {Eq} } {S, T}$

Sources

• 1965: J.A. Green: Sets and Groups ... (previous) ... (next): $\S 3.7$. Similar sets
• 1972: A.G. Howson: A Handbook of Terms used in Algebra and Analysis ... (previous) ... (next): $\S 4$: Number systems $\text{I}$: A set-theoretic approach
• 1996: Winfried Just and Martin Weese: Discovering Modern Set Theory. I: The Basics ... (previous) ... (next): Part $1$: Not Entirely Naive Set Theory: Chapter $3$: Cardinality: Definition $1$