## MSCS Graduate Student Seminar

### Fall 2000

#### October 20

SPEAKER: Brayton Gray

TITLE: * Can we always solve f(x)=x?
*

ABSTRACT: There is no solution if f(x)=x+1, so we can not always solve it
if the domain and the range are the entire set of real numbers. Suppose we
have a continuous function:

f:X--->Y,

i.e., a function with domain X and range Y. Are there cases where for
certain sets X and Y there is always a solution when f is continuous? Come
and find out, Elementary talk - recommended for first year graduate
students amd up.