Series: Penn State Logic Seminar

Date: Tuesday, February 11, 2003

Time: 2:30 - 3:45 PM

Place: 113 McAllister Building

Speaker: Stephen Binns, Penn State, Mathematics

Title: Small Pi01 Classes

Abstract: 

A new property of Pi01 sets, smallness, is described.  Motivated by
the Hausdorff dimension of subsets of the Cantor space, this property
turns out to be invariant under recursive homeomorphims and to have
nice connections to the Medvedev lattice.  Other similar properties
are described and questions raised as to their significance to the
Medvedev and Muchnik lattices.