Supercompactness

Translation of "supercompactness" into Russian

Noun

/ˌsuːpəˈkɒmpæktnəs/

/ˌsuːpərˈkɑmpæktnəs/

supercompactness

сверхкомпактность

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

Сверхкомпактность нового устройства делает его идеальным для путешествий.

Noun

/ˌsuːpəˈkɒmpæktnəs/

/ˌsuːpərˈkɑmpæktnəs/

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.