Sentence examples for be a metrizable compact from inspiring English sources

Let be a metrizable compact space.

Let be a -almost weakly orthogonal closed subspace of where is a metrizable compact space.

Benavides and Pineda [2] proved that each ω-almost weakly orthogonal closed subspace of C ( K 1 ), where K 1 is a metrizable compact space, has the weak fixed point property and C ( K 2 ), where K 2 is a compact set with K 2 = ∅, has the weak fixed point property.

We also study the possibility of finding the Haar system in a boundary of a metrizable compact convex set.

Then, is a metrizable space.

If a -norm is such that then is a metrizable topological space under the -topology.

If is a Q-function on, then, and hence, is a metrizable topology on.

We now give another example where is a metrizable linear topological vector space that is not a normed linear space.

We show that every cone metric space over a solid vector space is a metrizable topological space.

In the sequel we will suppose that is a metrizable linear topological space whose topology is defined by a real-valued function called (see [8]).

Baron in [3] showed that if G is a metrizable topological group and f : G → ℝ is Baire measurable and satisfies (1.2) then f is continuous.