Abstract

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.

Degree

MS

College and Department

Physical and Mathematical Sciences; Mathematics

Rights

http://lib.byu.edu/about/copyright/

Date Submitted

2008-07-07

Document Type

Thesis

Handle

http://hdl.lib.byu.edu/1877/etd2452

Keywords

homomorphisms, Peano continuum, continuous, Hawaiian earring

Included in

Mathematics Commons

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