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 .

In the past 10 years I have focused on Boolean algebra; the topological spaces I have looked at tend to be closely related to Stone spaces of Boolean algebras. Much of my recent work has been centered on homomorphisms/continuous maps. I have also worked on canonical examples such as Ostaszewski spaces and Kunen lines. These two areas are not unrelated. Most recently I have been looking at almost disjoint families of integers and the Boolean algebras they generate.

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

Some recent 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, to appear in Transactions of the AMS.
(with Lajos Soukup) Luzin and anti-Luzin almost disjoint families, Fundamenta Mathematica, 158, 1998, 51-67.
The combinatorics of sub-Ostaszewski spaces, to appear in Topology Proceedings.
More homogeneous almost disjoint families, to appear in Algebra Universalis.

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