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May 10, 2010 at 12:43 comment added Bill Kronholm It does seem like you get the notion of sequentially compact by thinking in terms of maps from the directed set of real numbers. What flavor of compactness are you looking for? What do you want this flavor of compactness to detect?
May 10, 2010 at 6:31 comment added Andrew Stacey But what I really want to probe them with is the real line! I can clearly start with that as my directed set, but the subnets could be just the integers which doesn't help.
May 9, 2010 at 15:11 history edited Bill Kronholm CC BY-SA 2.5
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May 9, 2010 at 14:57 history answered Bill Kronholm CC BY-SA 2.5