Jin Du : Increasing Sequences of Functions from a Polish Space

Posted by Jin Yang Du , part of the Louise Hay Logic Seminar.

At

Feb. 28, 2013, 3 p.m.

In

SEO 427

Abstract

Let [tex]X[/tex] be a Polish space and [tex]\{f_{\alpha}\}_{\alpha}[/tex] an increasing sequence of functions from [tex]X[/tex] into the real numbers. I will discuss how imposing measurability conditions on the [tex]f_{\alpha}[/tex]'s affects whether or not the sequence can be uncountable.