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.
College and Department
Physical and Mathematical Sciences; Mathematics
BYU ScholarsArchive Citation
Meilstrup, Mark H., "Classifying Homotopy Types of One-Dimensional Peano Continua" (2005). All Theses and Dissertations. 550.
Peano continua, one-dimensional, homotopy, reduced forms