Publications:

1. N.A. Carlson, Non-regular Power Homogeneous Spaces, Topology and its Applications, 154 (2007), 302-308.

2. N.A. Carlson, Lower and Upper Topologies in the Hausdorff Partial Order on a Fixed Set, Topology and its Applications, 154 (2007), 619-624.

3. N.A. Carlson and G.J. Ridderbos, Partition Relations and Power Homogeneity, Topology Proceedings, 32 (2008), 115-124.

4. N.A. Carlson and J.R. Porter, On Open Ultrafilters and Maximal Points, submitted for publication.

Pdf's of research-related conference and seminar talks:

Finite Sum Theorem (KU/UA)
Non-regular Power Homogeneous Spaces, STDC 2006 (Greensboro)
Lower and Upper Topologies in the Hausdorff Partial Order on a Fixed Set, STDC 2007 (Rolla)
A New Cardinality Bound on Homogeneous Spaces via the Erdos-Rado Theorem, STDC 2008 (Milwaukee)

Other research-related documents:

Dissertation: The Haudorff Partial Order and Non-regular Power Homogeneous Spaces
General research statement

Research related links:

Spring Topology and Dynamical Systems Conference 2009, Gainesville, FL