Logic Seminar
Some Equivalence Relations without the Mycielski Property
William Chan,
Graduate Student,
Mathematics Department,
California Institute of Technology,
Mycielski showed that for every comeager subset of the plane, there is a perfect subset of reals so that the collection of all pairs of non-identical reals from this perfect set is a subset of the original comeager set. A Mycielski type property can be formulated for other equivalence relations besides equality. Holshouser and Jackson showed that E_0 has the Mycielski property. In this talk we will show that E_1, E_2, and E_3 do not have the Mycielski property. This is joint work with Connor Meehan.
For more information, please contact Mathematics Department by phone at 4335 or by email at [email protected].
Event Series
Logic Seminar Series