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Brigham Young University - Provo

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

Abstract

dc:description.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

thesis:*
Name thesis:degree_name
MS
Grantor dc:publisher
Brigham Young University - Provo

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Kent, Curtis Andrew

Subjects

dc:subject × 5

Rights

Language dc:language
English

Identifiers

dc:identifier.*
Repository record dc:identifier
https://scholarsarchive.byu.edu/etd/1430
OAI identifier oai:identifier
oai:scholarsarchive.byu.edu:etd-2429

Chain of custody

source
Harvested from
Brigham Young University
Base URL
scholarsarchive.byu.edu/do/oai/
Last updated
2026-07-24
Source record
OAI-PMH GetRecord
citation

Kent, Curtis Andrew. Homomorphisms into the Fundamental Group of One-Dimensional and Planar Peano Continua. Brigham Young University - Provo, https://scholarsarchive.byu.edu/etd/1430