School Seminars and Colloquia

The Continuum Hypothesis


by Professor Greg Hjorth

Institution: Department of Mathematics and Statistics, The University of Melbourne
Date: Wed 11th October 2006
Time: 11:00 AM
Location: Russell Love Theatre, Richard Berry Building, The University of Melbourne

Abstract: In the 1900 Paris Congress, David Hilbert proposed the
following question: Does every subset of the reals either have finite cardinality, or admit a bijection with the natural numbers, or admit a
bijection with the entire real number line? There was an early partial result by Kurt Godel in the 1930's, but the full question was not resolved until Paul Cohen's work on forcing in the 1960's.

I will describe this problem, some variants which were not solved until later, and a last descendant of the question which remains notoriously open.

For More Information: Ole Warnaar tel. 8344 5214 or Paul Pearce tel. 8344 4470

Colloquium Website