metrizable space

[mə′trīz·ə·bəl ′spās]

(mathematics)

A topological space on which can be defined a metric whose topological structure is equivalent to the original one.

References in periodicals archive ?

Dales [9] within the context of "function algebras" on a compact metrizable space.

First, we note that every (relative) peak set does not necessarily contain a (relative) peak point, even though this is the case for a Banach function algebra on a metrizable space [9, p.

Boundaries and peak points in topological algebras

This is equipped with the compact-open topology, and it becomes a compact metrizable space (possibly infinite dimensional) with the following natural continuous C-action:

Remark on energy density of Brody curves

Let X be a metrizable space and let d be a bounded metric on X.

The fell topology on the space of time scales for dynamic equations

parallel]*[parallel][less than or equal to]n] forms a second countable metrizable space which leads us to conclude (B(H), [tau]) is again Lindelof.

Operator-valued measurable functions

Since every pseudocompact space is weakly pseudocompact and pseudocompact metrizable space is compact, the following result follows from Theorem 3.

Arhangel'skii, More on remainders close to metrizable spaces, Topology Appl.

Notes on remainders of paratopological groups

Let X be a non compact, locally compact and metrizable space such that X = [union][K.

m-infrabarrelledness and m-convexity

Hence (T-spaces, stratifiable spaces, Moore spaces and metrizable spaces are all D-spaces.

A note on monotone D-spaces

Examples of such spaces are metrizable spaces and one point compactifications of discrete spaces.

A topological vector space is Frechet-Urysohn if and only if it has bounded tightness

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