Preservation of the higher chain condition under products

Seminar
Speaker
Assaf Rinot
Date
02/11/2014 - 10:00Add to Calendar 2014-11-02 10:00:00 2014-11-02 10:00:00 Preservation of the higher chain condition under products We shall survey the history of the study of the productivity of the k-chain-condition in partial orders, topological spaces, and Boolean algebras. We shall address a conjecture that tries to characterize such a productivity in Ramsey-type language. For this, a new oscillation function for successor cardinals, and a new characteristic function for walks on ordinals will be proposed and investigated.   Bibliography אוניברסיטת בר-אילן - Department of Mathematics mathoffice@math.biu.ac.il Asia/Jerusalem public
Abstract

We shall survey the history of the study of the productivity of the k-chain-condition in partial orders, topological spaces, and Boolean algebras. We shall address a conjecture that tries to characterize such a productivity in Ramsey-type language. For this, a new oscillation function for successor cardinals, and a new characteristic function for walks on ordinals will be proposed and investigated.
 

Bibliography

Last Updated Date : 27/10/2014