## Construction

Create a free object, then mod out by some relations to get some smaller, more useful object. Essentially, you take your original object, blow it up into a much bigger object via free construction, then quotient it down to an object that’s bigger than your original one, but smaller than the free object.

## Examples

I’m blanking out right now, but I’ve run into more than just these 2.

### Tensor Product of \(V\) and \(W\)

Quotient the free vector space generated by \(V \times W\) so bilinearity holds.

### Wedge product

Same as above, but with anti-symmetry enforced as well.