Series: Penn State Logic Seminar

 Date: Tuesday, October 11, 2005

 Time: 2:30 - 3:45 PM

 Place: 106 McAllister Building

 Speaker: Carl Mummert, Appalachian State University, Mathematics

 Title: Topological Aspects of Poset Spaces


   This is joint work with Frank Stephan.  For each poset P we may
   form the topological spaces MF(P) and UF(P) consisting,
   respectively, of the maximal or unbounded filters on P.  The basic
   open sets in each topology are collections of filters that contain
   a fixed element of the poset.  Spaces of the form MF(P) or UF(P)
   are called poset spaces.  In this talk, I will describe what is
   known and what is unknown about the general topology of poset