metacompact

Adjective

Meaning

metacompact (not comparable)

(topology) Of a topological space: such that every open cover has a point finite open refinement. That is, given any open cover of the topological space, there is a refinement which is again an open cover with the property that every point is contained only in finitely many sets of the refining cover.

Examples

Every paracompact space is metacompact, and every metacompact space is orthocompact. Source: Internet

If A is not meagre in X, A is of second category in X. Steen Seebach (1978) p.7 ; Metacompact : A space is metacompact if every open cover has a point finite open refinement. Source: Internet

To define them, we first need to extend the list of terms above: A topological space is: * metacompact if every open cover has an open pointwise finite refinement. Source: Internet

Close letter words and terms