In an infinite-dimensional space V, as used in functional analysis, the flag idea generalises to a subspace nest, namely a collection of subspaces of V that is a total order for inclusion and which further is closed under arbitrary intersections and closed linear spans. See nest algebra.
Read more about this topic: Flag (linear Algebra)
Famous quotes containing the word nest:
“Merrily swinging on brier and weed,
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Over the mountainside or mead,
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Bob-o-link, bob-o-link,”
—William Cullen Bryant (17941878)