Examples
- a dual topology is a polar topology (the converse is not necessarily true)
- a locally convex topology is the polar topology defined by the family of equicontinuous sets of the dual space, that is the sets of all continuous linear forms which are equicontinuous
- Using the family of all finite sets in we get the coarsest polar topology on . is identical to the weak topology.
- Using the family of all sets in where the polar set is absorbent, we get the finest polar topology on
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