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:
““... Or how should love be worth its pains were it not
That when he has fallen asleep within my arms,
Being wearied out, I love in man the child?
What can they know of love that do not know
She builds her nest upon a narrow ledge
Above a windy precipice?””
—William Butler Yeats (1865–1939)