This

**collaborative project**- is a
**database**of combinatorial collections, maps and statistics:- a
**combinatorial collection**is a collection $\mathcal{S} = \bigcup_{x}\mathcal{S}_x$ of finite sets $\mathcal{S}_x$ (e.g. the set of permutations) - a
**combinatorial map**is a map $\phi: \mathcal{S} \longrightarrow \mathcal{S'}$ between collections (e.g. the inverse of a permutation) - a
**combinatorial statistic**(or**parameter**) is a map $\operatorname{st}: \mathcal{S} \longrightarrow \mathbb{Z}$ (e.g. the first entry of a permutation)

- a
- is a
**search engine**, identifying your data as the**composition of known maps and statistics**.

**all collections**/

**all maps**/

**all statistics**

The database currently contains

**146 maps**and

**1060 statistics**on

**18 collections**.