Judith Roitman's Mathematics page
My mathematical interests are in set theory applied to topology and
Here at the University of Kansas we have a very active group in
set theory. The other permanent faculty members in this group are Jack
Porter and Bill
We usually have some advanced graduate students and often have
in this group, have an active seminar, and have several outside
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
Some papers include:
I also have a survey paper on applied set theory:
Real results on autohomeomorphisms of thin-tall locally compact
spaces, Annals of NY Academy of Sciences, 704, 1993, 296-308.
A space homeomorphic to each uncountable closed subspace under CH,
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,
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
The uses of set theory, Mathematical Intelligencer, 14, 1992,
Infinity goes up on trial. R. Zimmerman