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.
College and Department
Physical and Mathematical Sciences; Mathematics
BYU ScholarsArchive Citation
Kent, Curtis Andrew, "Homomorphisms into the Fundamental Group of One-Dimensional and Planar Peano Continua" (2008). All Theses and Dissertations. 1430.
homomorphisms, Peano continuum, continuous, Hawaiian earring