Boundedness

However boundedness should not in general be confused with "finite", which refers to the number of elements, not to how far the set extends; finiteness implies boundedness, but not conversely.

Birkar, Kurdish refugee turned Cambridge University professor, has been given the medal “for the proof of the boundedness of Fano varieties and for contributions to the minimal model program”.

Boundedness Consider the function : which is a continuous function from R to itself.

For example, compactness and connectedness are topological properties, whereas boundedness and completeness are not.

Note that this concept of boundedness has nothing to do with finite size, and that a subset S of a bounded poset P with as order the restriction of the order on P is not necessarily a bounded poset.

The boundedness reflects the fact that beyond a certain point money ceases being useful at all, as the size of any economy at any point in time is itself bounded.

The uniform boundedness principle yields a simple non-constructive proof of this fact.