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/

Date Submitted

2005-06-14

Document Type

Thesis

Handle

http://hdl.lib.byu.edu/1877/etd851

Keywords

Peano continua, one-dimensional, homotopy, reduced forms

Included in

Mathematics Commons

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