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Continuum theory, point-set topology, spaces with algebraic structure, foundations, dimension theory, local and global properties.
2
votes
Accepted
Which necklaces require maximal cuts?
I think the answer is "no".
Let's consider $p=2,d=3$. Suppose that we have a necklace which can be fairly divided using only 2 cuts (one less than the maximum number that may be required).
Let …
55
votes
Accepted
On the series 1/2 + 1/3 + 1/5 + 1/7 + 1/11 + ...
Yes, it's possible. Define the closed sets to be the sets the sum of whose reciprocals converges, together with $\mathbb{N}$. This collection of subsets is closed under arbitrary intersection and fi …