# The Souslin Hypothesis

#### by Raj Dahya

Institution: Mathematics and Statistics, The University of Melbourne
Date: Thu 30th July 2009
Time: 4:15 PM
Location: Room 107, Richard Berry Building, The University of Melbourne

Abstract: Can we characterise the Reals by as being a complete, linearly ordered set, whose topology satisfies the c.c.c.? Souslin's Hypothesis about this characterisation, is infact, independent of Z.F.C.. I will show that assuming the Z.F.C+V=L leads to a combinatorial principle, â— , which decides the problem. If I get time, I hope to discuss the independence.