Homomorphisms into the Fundamental Group of One-Dimensional and Planar Peano Continua Homomorphisms into the Fundamental Group of One-Dimensional and Planar Peano Continua

by Kent, Curtis Andrew

Let X be a planar or one-dimensional Peano continuum. Let E be a Hawaiian Earring with fundamental group H. We show that every homomorphism from H to the fundamental group of X is conjugate to a homomorphism which is induced by a continuous function.