Judith Roitman's Mathematics page

My mathematical interests are in set theory applied to topology and Boolean algebra.

Here at the University of Kansas we have a very active group in applied set theory. The other permanent faculty members in this group are Jack Porter and Bill Fleissner. We usually have some advanced graduate students and often have post-docs in this group, have an active seminar, and have several outside speakers visit each year. For more information, see our seminar Web page .

Much of my early work involved S and L (and related) spaces and paracompact box products. From the mid-1980s through the mid-1990's I focused mostly on superatomic Boolean algebras (equivalently, locally compact scattered spaces), predominantly cardinal sequences and maps. From the mid to late 1990's I worked largely on Ostaszewski and sub-Ostaszewski spaces. There were some detours in the early oughts: almost disjoint families, and coarser connected topologies. For the last four years I've been looking again at paracompact box products.

If you are interested in similiar things, you might want to check out Topology Atlas.

Some papers include:

Real results on autohomeomorphisms of thin-tall locally compact scattered spaces, Annals of NY Academy of Sciences, 704, 1993, 296-308.
A space homeomorphic to each uncountable closed subspace under CH, Topology and its Applications, 55, 1994, 273-287.
Stiff Algebras, Algebra Universalis, 34, 1995, 366-379.
Maps of Ostaszewski and related spaces, Topology and its Applications, 20, 1996, 1-13.
(with Todd Eisworth) CH and Ostaszewski spaces, Transactions of the AMS 351, 1999, no. 7, 2675 - 2693
(with Lajos Soukup) Luzin and anti-Luzin almost disjoint families, Fundamenta Mathematica, 158, 1998, 51-67.
The combinatorics of sub-Ostaszewski spaces, Topology Proceedings 24, 1999, 1 - 6
More homogeneous almost disjoint families, Algebra Universalis 47, 2002, 267 - 282
(with W. Fleissner and J. Porter) Which spaces have a coarser connected Hausdorff topology? Topology and its Applications 125, 2002, 215 - 231
(with W. Fleissner and J. Porter) Coarser connected topologies, Topology and its Applications 142, 2004, 131 - 157
Paracompactness of box products and their subspaces, Topology Proceedings 31 no. 1, 2007, 265 - 281
More paracompact subspaces of [](w+1)^w, Topology Proceedings 34, 2009, 53 - 76 pdf

I also have a survey paper on applied set theory:

The uses of set theory, Mathematical Intelligencer, 14, 1992, 63-39.

Infinity goes up on trial. R. Zimmerman