Bojana Pejić
Research
My research has been in topology and descriptive set theory; in particular in understanding how the algebraic structure influences the topology of a topological group.
For more information, please see my Research Statement.
Publications
1. The complexity of the set of squares in the homeomorphism group of the circle, Fund. Math. 195 (2007), no. 2, 125-134. (available online, or, if you are not a subscriber, try our home version)
2. Uniqueness of Polish group topology, Topology and its Applications (2008), doi:101016/j.topol.2008.01.001.
3. On the uniqueness of Polish group topologies, Ph.D. Thesis (available online at the etd library of the University of Pittsburgh)
Recent and Future Conference Talks and Seminars
Uniqueness of Polish group topology, Spring Topology and Dynamics Conference 2007, Rolla, Missouri, March 2007
Property (a) and friends, University of Pittsburgh Topology Seminar, March 13, 2007
Uniqueness of Polish group topologies, invited talk at the New York Seminar on General Topology and Topological Algebra, March 1, 2007
Uniqueness of Polish group topologies, invited talk at Carnegie Mellon University Logic Seminar, February 27, 2007 (presentation slides)
Uniqueness of Polish group topologies, AMS Session on Geometry and Topology, II, Joint Mathematical Meetings, New Orleans, January 6, 2007 (presentation slides, article version)
Thesis Overview, University of Pittsburgh, November 2006
Uniqueness of locally compact topologies on Lie groups, University of Pittsburgh Topology Seminar, October 2006
Uniqueness of Polish group topologies, invited talk at the University of Louisville, March 2006
On Mackey's Theorem and difficulties in extending it to analytic sets, Slippery Rock University Topology Meeting, February 2006
Current research, University of Pittsburgh Topology Seminar, October 2005
Circular squares are wild, Summer Topology Conference, Granville, Ohio, July 2005 (presentation slides)
The squares in C([0,1]) are analytic but not Borel, University of Pittsburgh Topology Seminar, March 2005
Squares and other powers in the infinite symmetric group, University of Pittsburgh Topology Seminar, November 2004
Automatic continuity in Banach algebras, University of Pittsburgh Topology Seminar, March 2004
Topological games, University of Pittsburgh Topology Seminar, April 2003