James Cummings: A gentle introduction to PCF I

Mathematical logic seminar – 13 November, 2012
Time:     12:00 – 13:20

Room:     Wean Hall 7201

Speaker:         James Cummings
Department of Mathematical Sciences
Carnegie Mellon University

Title:     A gentle introduction to PCF I

Abstract:

Shelah’s PCF theory is a powerful set of tools for analysing the combinatorics of singular cardinals. It has been applied to prove results in many areas including cardinal arithmetic, Ramsey theory, and group theory.

In this series of talks I will introduce the main ideas and sketch some of the principal applications.

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