# GAUSS (Graduate and Undergraduate Students Seminar)

## Upcoming Seminars for Fall Semester

Unless otherwise noted, the Fall Semester GAUSS talks will be on Fridays at 4:00PM in S2 308.

**October 31, 2014; 4:00PM in S2 308**: Marat Markin (Fresno State)**Title: Free AC check: The Axiom of Choice, its equivalents, and applications**

**Abstract:** The Axiom of Choice (AC), formulated by Ernst Zermelo in 1904 and considered controversial for a few decades after that, is now a basic assumption used in many parts of mathematics. A vast number of important mathematical results require AC for their proofs.

In this talk, we are going to formulate AC and its equivalents and see how it can be applied to proving the existence of a basis in any vector space and a set of real numbers that is not Lebesgue measurable.

Consider our discussion a "free AC check" making no pretense to be an in-depth treatment of such a fundamental principle of mathematics.

**If you need a disability-related accommodation or wheelchair access information, please contact the Mathematics Department at 559.278.2992 or e-mail** math.office@csufresno.edu. **Requests should be made at least one week in advance of the event.**