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Jim Conant's user avatar
Jim Conant's user avatar
Jim Conant's user avatar
Jim Conant
  • Member for 14 years, 3 months
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Elegant representations of graphs in R^3
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Ordinal-indexed homology theory?
@Pete: Suppose we take that as a definition. How would we define $H_{\omega+1}(X)$?
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Ordinal-indexed homology theory?
This is very close to what I am interested in!
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Ordinal-indexed homology theory?
@Martin: I agree that the usual simplex approach doesn't generalize.
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Whitehead doubles of any knots
I haven't figured out how to do matrices well.
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Whitehead doubles of any knots
Nice picture Ian!
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Proofs without words
I first learned this in Dan Velleman's book "How to prove it." I'm not sure if he originated it or not.
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If a result is apparently provable with AC, is actually independent of ZF?
This paper is also notable for giving a great conceptual proof of the Schröder-Bernstein theorem, as a warm-up to the main proof.
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What's the Kirby Diagram of a universal $\mathbb{R}^4$?
Gompf probably knows the answer to this.
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Contractibility of CW subcomplexes
Since $X\subset Y$ this just means that every cell of $X$ is the boundary of some other cell, which could also be in $X$.Is that what you had in mind?
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Decidability of tiling R^2
This is related to a question at Math Stacexchange: math.stackexchange.com/questions/19205/… I thought I had heard that there is a single tile such that the fact that it tiles the plane is independent of ZFC, but now I'm not so sure.
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Why is it so hard to implement Haken's Algorithm for knot theory?
@Joseph O'Rourke: do you know of a reference for the fact that unknotting is an NP problem?
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Mathematical "urban legends"
I've heard this story too.
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