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Classifying Homotopy Types of One-Dimensional Peano ContinuaMeilstrup, Mark H. 14 June 2005 (has links) (PDF)
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.
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