Supercompactness

Translation of "supercompactness" into Russian

Noun

supercompactness

сверхкомпактность

The supercompactness of the new device makes it ideal for travel.

Сверхкомпактность нового устройства делает его идеальным для путешествий.

Noun

The state or quality of being supercompact, especially of a topological space or algebraic structure whose compactness exceeds the usual notion.

The argument depends on the supercompactness of the given Boolean algebra.

(set theory) A large-cardinal property stronger than strong compactness, possessed by certain inaccessible cardinals.

Assuming the supercompactness of κ, one can define fine ultrafilters on P_κ(λ) for every λ ≥ κ.