Department of

Mathematics


Seminar Calendar
for events the day of Wednesday, January 30, 2019.

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Wednesday, January 30, 2019

3:00 pm in 341 Altgeld Hall,Wednesday, January 30, 2019

The cube problem and Schroeder-Bernstein problem for linear orders

Garret Ervin (Carnegie Mellon)

Abstract: We sketch proofs of solutions to two old problems posed by Sierpinski concerning products of linear orders. The first problem asks whether there exists a linear order $X$ that is isomorphic to its lexicographic cube but not to its square; the second, whether there are two non-isomorphic orders $Y$ and $Z$ that divide each other on both the left and right side. For other classes of structures, the corresponding questions are usually either both positive or both negative, but for linear orders the answers diverge: there is no such $X$, but there are such $Y$ and $Z$.

3:00 pm in 2 Illini Hall,Wednesday, January 30, 2019

Canceled

4:00 pm in 245 Altgeld Hall,Wednesday, January 30, 2019

Rescheduled