separability
Noun
Meaning
Quality of being separable or divisible; divisibility; separableness.
Source: Webster's dictionarySynonyms
division
composite
disruption
cleavage
coherence
agility
elasticity
adaptability
dislocation
divisibility
abscission
disjuncture
dismemberment
abruption
extensibility
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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.
Separability being important for applications, functional analysis of Hilbert spaces consequently mostly deals with this space.