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:
“Without, the frost, the blinding snow,
The storm-wind’s moody madness—
Within, the firelight’s ruddy glow,
And childhood’s nest of gladness.
The magic words shall hold thee fast:
Thou shalt not heed the raving blast.”
—Lewis Carroll [Charles Lutwidge Dodgson] (1832–1898)