Abstract
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.
Degree
MS
College and Department
Physical and Mathematical Sciences; Mathematics
Rights
http://lib.byu.edu/about/copyright/
BYU ScholarsArchive Citation
Meilstrup, Mark H., "Classifying Homotopy Types of One-Dimensional Peano Continua" (2005). Theses and Dissertations. 550.
https://scholarsarchive.byu.edu/etd/550
Date Submitted
2005-06-14
Document Type
Thesis
Handle
http://hdl.lib.byu.edu/1877/etd851
Keywords
Peano continua, one-dimensional, homotopy, reduced forms
Language
English