# Transgressing the limits

Today, the 14th of January 2014, we had a special session of our Theory Lunch. I spoke about ultrafilters and how they allow to generalize the notion of limit.

Consider the space $\ell^\infty$ of bounded sequences of real numbers, together with the supremum norm. We would like to define a notion of limit which holds for every $\{x_n\}_{n \geq 0} \in \ell^\infty$ and satisfies the well known properties of standard limit: Continue reading