# Algebra Seminar talk

2015-06-09

Greg **Conner***Some notes on discontinuous homomorphisms*

Abstract:

One of the more useful tricks in topology and group
theory is to move between the two using the fundamental group functor. It's a
surprising fact that while every group is the fundamental group of a space, not
every homomorphism of groups is induced by continuous maps of spaces. We will
discuss various results related to such inscrutable homomorphisms.