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Results tagged with gm.general-mathematics
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user 2733
Questions about mathematics which don't fall into the other arXiv categories. If you have a general question about mathematics but it is not research level, it's off-topic but it might be welcomed on Mathematics Stack Exchange.
18
votes
1
answer
2k
views
Uses of Zorn's Lemma when the thing is actually unique
There is a revised version, which I might substitute for this one, but I would like to keep this as evidence of priority for the "special condition".
Are there uses of the sledgehammer Zorn's Lemma th …
- 8,481
5
votes
0
answers
630
views
Bourbaki-Witt in a textbook, other than in logic?
The Bourbaki-Witt theorem states that, in a chain-complete poset, the subset $X$ generated by an inflationary monotone function $s$ from the least element and joins of chains satisfies
$$ \forall x,y\ …
- 8,481
8
votes
1
answer
753
views
A new and subtle order-theoretic fixed point theorem
Sometimes a very simple argument appears out of the blue and overturns a subject. It is not based on pre-existing theory and heavy involvement in such a theory is actually a handicap in finding such a …
- 8,481