Weak Topology (polar Topology)
In functional analysis and related areas of mathematics the weak topology is the coarsest polar topology, the topology with the fewest open sets, on a dual pair. The finest polar topology is called strong topology.
Under the weak topology the bounded sets coincide with the relatively compact sets which leads to the important Bourbaki–Alaoglu theorem.
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Famous quotes containing the word weak:
“After all, one knows one’s weak points so well, that it’s rather bewildering to have the critics overlook them & invent others.”
—Edith Wharton (1862–1937)