PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Stephen Simpson, Jan Reimann.

Title:Submeasures, supermeasures, and effective capacitability.
Seminar:Logic Seminar
Speaker:Stephen G. Simpson, Pennsylvania State University
Abstract:
I discuss submeasures and supermeasures on the Cantor space. I prove a lemma to the effect that if a supermeasure is bounded above by a submeasure, then there is a measure in between them. Using this lemma I prove that for any computable convex function f, strong f-randomness is equivalent to effective f-capacitability. This theorem is a generalization of an earlier result due to Reimann and Kjos-Hanssen. Using this theorem, I prove a product theorem for strong f-randomness. These new results are in the forthcoming paper "Cone avoidance and randomness preservation" by S. Simpson and F. Stephan.

Room Reservation Information

Room Number:MB315
Date:12 / 03 / 2013
Time:02:30pm - 03:45pm