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Classifying Homotopy Types of One-Dimensional Peano Continua Classifying Homotopy Types of One-Dimensional Peano Continua

by Meilstrup, Mark H

Abstract (Summary)
Determining the homotopy type of one-dimensional Peano continua has been an open question of some interest. We give a complete invariant of the homotopy type of such continua, which consists of a pair of subspaces together with a relative homology group. Along the way, we describe reduced forms for one-dimensional Peano continua.
Bibliographical Information:

Advisor:

School:Brigham Young University

School Location:USA - Utah

Source Type:Master's Thesis

Keywords:peano continua one dimensional homotopy reduced forms

ISBN:

Date of Publication:05/24/2005

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