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/
BYU ScholarsArchive Citation
Kent, Curtis Andrew, "Homomorphisms into the Fundamental Group of One-Dimensional and Planar Peano Continua" (2008). Theses and Dissertations. 1430.
https://scholarsarchive.byu.edu/etd/1430
Date Submitted
2008-07-07
Document Type
Thesis
Handle
http://hdl.lib.byu.edu/1877/etd2452
Keywords
homomorphisms, Peano continuum, continuous, Hawaiian earring
Language
English