bio  website  jvanname.myweb.usf.edu 

location  Nowhere, KS  
age  24  
visits  member for  2 years, 4 months 
seen  2 hours ago  
stats  profile views  2,375 
I am interested in to varying degrees ordered sets, general topology, pointfree topology, settheory, universal algebra, and model theory. Most of my mathematics research involves dualities that are similar to Stone duality. Yes. That is a real lightsaber in my profile picture.
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awarded  Pundit 
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Escape the zombie apocalypse
If the zombies can strategize, then regardless of how slow the zombies, walk the zombies can easily form a circle around you of a sufficiently large radius before you make it to the boundary of the circle so that whenever you cross from the inside of the circle to the outside of the circle, the zombies will be in a $d$ distance of you. All the zombies have to do is form a sequence of circles of radius say $2^{n}$ for all $n$ and the zombies are simply commanded to walk to the boundary of the nearest circle. 
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answered  Locally compact Hausdorff space that is not normal 
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revised 
The word problem of the free left distributive algebra on one generator
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The word problem of the free left distributive algebra on one generator
Yes. These results can be proven in ZFC alone, and the Handbook of Set Theory outlines ZFC proofs of these results even though the proofs are not very set theoretical. 
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revised 
The word problem of the free left distributive algebra on one generator
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answered  The word problem of the free left distributive algebra on one generator 
Jul 18 
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Profinite completion of a partial order
Also, it seems as if the compactification that we are talking coincides with the Nachbin compactification. I gave an answer here mathoverflow.net/a/140625/22277 sketching basic facts about ordered topological spaces and I talked a little about the Nachbin compactification there. Also, Guram Bezhanishvili and Patrick Morandi both from New Mexico State University have written several relevant papers on partially ordered spaces and their ordered compactifications. The paper sierra.nmsu.edu/gbezhani/tos.pdf describes the Nachbin compactification and other ordered compactifications. 
Jul 18 
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Profinite completion of a partial order
Yann Pequignot. You should post your proof as an answer to this question. Users are encouraged to answer their own questions if they find an answer after they ask the question. 
Jul 18 
awarded  Necromancer 
Jul 17 
answered  Given A set $U$ and a set $\mathcal O$ of subsets of $U$, how many subsets of $\mathcal O$ have union $U$? 
Jul 17 
revised 
Given A set $U$ and a set $\mathcal O$ of subsets of $U$, how many subsets of $\mathcal O$ have union $U$?
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Jul 17 
comment 
Profinite completion of a partial order
I would guess that the profinite completion of a partial order is a sort of generalized Stone Cech compactification of the partially ordered set $P$. More specifically, if $P$ is a poset, then let $\mathcal{L}(P)$ be the collection of all downwards closed subsets of $P$. Then let $\iota:P\rightarrow 2^{\mathcal{L}(P)}$ be the mapping where $\iota(x)(L)=1$ iff $x\in L$. Then let $X=\overline{\iota[P]}$. Then $X$ becomes a Priestley space with its natural partial ordering and it seems like $X$ is the profinite completion of $P$. 
Jul 13 
awarded  Enlightened 
Jul 12 
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Almost everywhere in a rectangle
See mathoverflow.net/q/160329/22277. 
Jul 11 
awarded  Nice Answer 
Jul 11 
revised 
Which sets occur as boundaries of other sets in topological spaces?
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Jul 11 
answered  Which sets occur as boundaries of other sets in topological spaces? 
Jul 9 
reviewed  Approve suggested edit on A realcompact analogue of the Baire category theorem 
Jul 9 
answered  A realcompact analogue of the Baire category theorem 