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
postdocs
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 mid1980s through the
mid1990'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 subOstaszewski 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 thintall locally compact
scattered
spaces, Annals of NY Academy of Sciences, 704, 1993, 296308.

A space homeomorphic to each uncountable closed subspace under CH,
Topology
and its Applications, 55, 1994, 273287.

Stiff Algebras, Algebra Universalis, 34, 1995, 366379.

Maps of Ostaszewski and related spaces, Topology and its Applications,
20, 1996, 113.

(with Todd Eisworth) CH and Ostaszewski spaces, Transactions
of the AMS 351, 1999, no. 7, 2675  2693

(with Lajos Soukup) Luzin and antiLuzin almost disjoint families,
Fundamenta
Mathematica, 158, 1998, 5167.

The combinatorics of subOstaszewski 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,
6339.
Infinity goes up on trial. R. Zimmerman