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Continuum theory, point-set topology, spaces with algebraic structure, foundations, dimension theory, local and global properties.
4
votes
Tightness of Measures, Riesz Representation for locally compact spaces
The proper framework for your question is the so-called strict topology on the space of bounded continuous functions which was introduced for the case of a locally compact space by R.C. Buck in the 50 …
2
votes
Do any Stone-like dualities have some self-dualities hidden inside them?
Not sure if this is relevant to your question but there are two natural and well known ways to get self-dual spaces in the category of locally convex spaces, namely objects of the form $E \times E'$ ( …