Fall 2015, Thursdays, Blocker 506A, 4:00-4:50 PM

Date: November 12

"  Dedekind cuts to construct ${\scriptstyle \mathbb{R}}$ "
  Hao Xing  


We will follow Rudin's book Principles of Mathematical Analysis to give a sketch of the construction of ${\scriptstyle \mathbb{R}}$ from ${\scriptstyle \mathbb{Q}}$ using Dedkind cuts and prove some basic properties of the Dedkind real numbers. If time allows, I will talk about some general theory of ordered fields and prove the uniqueness property of the real field.