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.