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separability

Noun

Meaning

Quality of being separable or divisible; divisibility; separableness.

Source: Webster's dictionary

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Separability versus second countability Any second-countable space is separable: if is a countable base, choosing any from the non-empty gives a countable dense subset. Source: Internet

Separability being important for applications, functional analysis of Hilbert spaces consequently mostly deals with this space. Source: Internet

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