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Continuum theory, point-set topology, spaces with algebraic structure, foundations, dimension theory, local and global properties.

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 …
Hugh Thomas's user avatar
  • 6,327
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 …
Hugh Thomas's user avatar
  • 6,327