Sam Corson, The homomorphisms from the Hawaiian earring group

Title:  The homomorphisms from the Hawaiian earring group

 

Abstract:  The Hawaiian earring can be regarded as a prototypical wild topological space, especially where fundamental groups are concerned.  I'll provide a kind introduction to the Hawaiian earring group as well as outline a proof of a recent dichotomy result.  More particularly- if there exists even one nonconstructive homomorphism from the Hawaiian earring group to a group of cardinality less than continuum then there exists powerset-of-a-continuum-many homomorphisms to the group.