# Set Theory of the Reals

Share this page *Edited by *
*Haim Judah*

A publication of Bar-Ilan University

The branch of mathematics concerned with set theory of
the reals began with Cantor's work in abstract analysis and was
continued by Hausdorff, Lebesgue, Sierpinksi, Luzin, Fraenkel,
Zermelo, Rothberger, Gödel, and others. Today the most important
research directions are based on the work of Paul Cohen on the size of
the continuum. The central problem in this area is to understand
the structure of the continuum when its size is at least \(\aleph
_3\). It is still generally believed that the size of the continuum
should be the guiding light for further research in set theory. This
book presents the proceedings of a Winter Institute on “Set Theory
of the Reals” held at Bar-Ilan University in January 1991.
Containing mostly survey papers, the book provides an excellent account
of present knowledge in this area and an outline for future research.

A publication of the Bar-Ilan University. Distributed worldwide by the AMS.

#### Readership

Graduate students in set theory, abstract analysis, topology, measure theory, model theory, and logic, as well as researchers in these fields.