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bio website users.muohio.edu/mckennp2
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Visiting assistant professor at Miami University of Ohio.


Dec
10
accepted Separating disjoint sets of size $\aleph_1$ with Borel sets
Dec
10
comment Separating disjoint sets of size $\aleph_1$ with Borel sets
Yes, I just realized this a minute ago! And Asaf, this holds for example under MA.
Dec
10
asked Separating disjoint sets of size $\aleph_1$ with Borel sets
Dec
8
awarded  Caucus
Sep
15
comment What is needed to make Euclidean spaces isomorphic as groups?
"Linear maps between Polish groups" sounds weird. You mean "homomorphisms between Polish groups", right?
Jul
30
revised A certain two-step subgroup of a nilpotent group
fixed more stuff
Jul
30
revised A certain two-step subgroup of a nilpotent group
Added a more plausible question, removed false information
Jul
30
comment A certain two-step subgroup of a nilpotent group
Thanks for this answer, Derek; I had previously considered this example but did not realize that the subgroup I found was not normal. I'm going to modify the question to allow for subgroups of a higher nilpotency class, since this is all I really need and still seems like it might be true.
Jul
29
comment A certain two-step subgroup of a nilpotent group
By "two-step nilpotent" I mean nilpotency class 2.
Jul
29
asked A certain two-step subgroup of a nilpotent group
Jul
19
accepted Partitions of the Cantor space into parities
Jul
19
awarded  Nice Question
Jul
17
comment Partitions of the Cantor space into parities
@Asaf, a principal ultrafilter won't produce a parity partition in the way illustrated above, since if $\{n\}\in U$ then flipping any bit past the $n$th one won't swap the elements of $A$ and $B$.
Jul
17
answered Partitions of the Cantor space into parities
Jul
15
comment Partitions of the Cantor space into parities
Yes, or you could even show that for all $x,y\in A$ there is $z\in A$ such that $E(z) \subseteq E(x)\cap E(y)$.
Jul
15
revised Partitions of the Cantor space into parities
Added 4th remark, fixed types
Jul
15
comment Partitions of the Cantor space into parities
Good question: I'll add another remark explaining what's clear and what's not clear in that strategy.
Jul
15
comment Partitions of the Cantor space into parities
@AsafKaragila, that's a good suggestion, thanks!
Jul
15
revised Partitions of the Cantor space into parities
improved formatting
Jul
14
asked Partitions of the Cantor space into parities