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@sbagley A fun exercise I went through in recent years for my research was recasting properties of sequences in terms of countable sets. Things like "a set-sequence S converges to L if L is the unique point for which every nbhd misses finitely-many points of S".On twitter.com
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@sbagley It's helpful because set-sequences in a function space are naturally dual to open "γ-covers" (every cofinite subset covers) in the base space.Permalink On twitter.com