Author: J-B Vienney Format: MarkdownItexThis is an operad which contains all the usual operations on subsets of a set $X$ like union, intersection, symmetric difference... but also much more. They are all particular case of operations $\multiscripts{_^n}{\Delta}{_i^j}:\mathcal{P}(X)^{\times n} \rightarrow \mathcal{P}(X)$ which give an operad when composed together.
<a href="https://ncatlab.org/nlab/revision/operad+of+set+operations/1">v1</a>, <a href="https://ncatlab.org/nlab/show/operad+of+set+operations">current</a>
This is an operad which contains all the usual operations on subsets of a set like union, intersection, symmetric difference… but also much more. They are all particular case of operations which give an operad when composed together.