Department of Mathematics
A taste of infinite-combinatorial real analysis
Boaz Tsaban
Weizmann Institute of Science
Cantor's diagonalization argument was invented and used to obtain a beautifully elegant proof of the existence of transcendental real numbers. Since then, the diagonalization method went a long way, and formed the field of set theory. There are still questions about the real line that are best treated using this approach. We give an overview of a subfield of set theory dealing with the real line from this point of view. The rapid development of this field in recent years owes much to the works of the mathematicians here at Boise. We will limit ourselves to a selected choice of topics, and introduce, step by step, all that is needed in order to open a window to this fascinating field of mathematics.
All interested persons are welcome.
The talk will be accessible to upper class students.