24 November 2009
2:30 - 4:00 Trevor Wares (U. Ottawa)
Abstract: I shall sketch a proof that all functions from
NN to itself are continuous in a natural localic topology
in the free topos. The proof is based on (unpublished) techniques
of Joyal and Fourman on taking sheaves on the glueing of internal
locales. The topology in question is related to Brouwer's
We also sketch some extensions to more general continuity principles.